N vines
N vines
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If three distinct numbers a b c are in G.P. and the equations ax² +2bx +c=0 and dx² +2ex +f=0 have
Просмотров 211Год назад
If three distinct numbers a b c are in G.P. and the equations ax² 2bx c=0 and dx² 2ex f=0 have
The sum of first 40 terms of the series 3+5+8+13+14+18+19+.. is 102m then m is equal to
Просмотров 6Год назад
The sum of first 40 terms of the series 3 5 8 13 14 18 19 .. is 102m then m is equal to
The greatest positive integer k for which 49^k +1 is a factor of 49¹²⁵+49¹²⁴+.... 49² +49 + 1 is
Просмотров 34Год назад
The greatest positive integer k for which 49^k 1 is a factor of 49¹²⁵ 49¹²⁴ .... 49² 49 1 is
Five numbers are in A.P. whose sum is 25 and product is 2520. If one of these five numbers is -1/2
Просмотров 115Год назад
Five numbers are in A.P. whose sum is 25 and product is 2520. If one of these five numbers is -1/2
Let a1 a2 a3... be in G.P. such that a1+a2=4 and a3 +a4 =16
Просмотров 32Год назад
Let a1 a2 a3... be in G.P. such that a1 a2=4 and a3 a4 =16
Let f:R- R such that for all x R (2^(1+x) + 2^(1-x)) f(x) and (3^x +3^-x) are in A.P. then the
Просмотров 48Год назад
Let f:R- R such that for all x R (2^(1 x) 2^(1-x)) f(x) and (3^x 3^-x) are in A.P. then the
It the 10th term of an A.P. is 1/20 and it's 20th term 1/10 then the sum of its first 200 terms is
Просмотров 53Год назад
It the 10th term of an A.P. is 1/20 and it's 20th term 1/10 then the sum of its first 200 terms is
Let an be 5he nth term of a G.P. of positive terms .If Sigma (n=1 to 100)(a(2n+1))=200 and Sigma
Просмотров 121Год назад
Let an be 5he nth term of a G.P. of positive terms .If Sigma (n=1 to 100)(a(2n 1))=200 and Sigma
The product 2¹/⁴.2¹/¹⁶.2¹/⁴⁸.2¹/¹²⁸... is equal to
Просмотров 11Год назад
The product 2¹/⁴.2¹/¹⁶.2¹/⁴⁸.2¹/¹²⁸... is equal to
If x=!y then the sum to infinity of the following series (x+y)+(x²+xy+y²)+(x³+x²y+xy²+y³) +... is
Просмотров 95Год назад
If x=!y then the sum to infinity of the following series (x y) (x² xy y²) (x³ x²y xy² y³) ... is
The sum of first three terms of a GP is S and their product is 27. Then all such A lie in
Просмотров 126Год назад
The sum of first three terms of a GP is S and their product is 27. Then all such A lie in
If the sum of first 11 terms of an AP a1 a2 A3... is 0 then the sum of the AP a1 a2 a5.... is ka1
Просмотров 197Год назад
If the sum of first 11 terms of an AP a1 a2 A3... is 0 then the sum of the AP a1 a2 a5.... is ka1
Let S be the sum of its first 9 terms of the series: {x+ka} +{x²+(k+2)a} +{x³+(k+4)a} +..
Просмотров 32Год назад
Let S be the sum of its first 9 terms of the series: {x ka} {x² (k 2)a} {x³ (k 4)a} ..
If the first term of an AP is 3 and the sum of its first 25 terms is equal to the sum of its next
Просмотров 10Год назад
If the first term of an AP is 3 and the sum of its first 25 terms is equal to the sum of its next
The sum of the series 20 +19(3/5) +19(1/5) +18(4/5)+.. upto nth term is 488 and the nth term is
Просмотров 33Год назад
The sum of the series 20 19(3/5) 19(1/5) 18(4/5) .. upto nth term is 488 and the nth term is
Let a and b be the roots of x²-3x+p=0 and c and d be the roots of x²-6x+q=0 .If a b c d form a GP
Просмотров 47Год назад
Let a and b be the roots of x²-3x p=0 and c and d be the roots of x²-6x q=0 .If a b c d form a GP
If (3⁶/4⁴)k is the term independent of x in the binomial expansion of (x/4 -12/x²)¹² then k is
Просмотров 10Год назад
If (3⁶/4⁴)k is the term independent of x in the binomial expansion of (x/4 -12/x²)¹² then k is
The ratio of the coefficient of the middle term in the expansion of (1+x)²⁰ and the sum of the
Просмотров 12Год назад
The ratio of the coefficient of the middle term in the expansion of (1 x)²⁰ and the sum of the
If the coefficient of a⁷b⁸ in the expansion of (a+2b+4ab)¹⁰ is K.2¹⁶ then K is equal to
Просмотров 25Год назад
If the coefficient of a⁷b⁸ in the expansion of (a 2b 4ab)¹⁰ is K.2¹⁶ then K is equal to
If the sum of the coefficients in the expansion of (x+y)^n is 4096 then the greatest coefficient in
Просмотров 148Год назад
If the sum of the coefficients in the expansion of (x y)^n is 4096 then the greatest coefficient in
If the coefficients of x⁷ and x⁸ in the expansion of (2+ x/3)^n are equal then value of n is equal
Просмотров 87Год назад
If the coefficients of x⁷ and x⁸ in the expansion of (2 x/3)^n are equal then value of n is equal
If the constant term in binomial expansion of (2x^r +1/x²) is 180 then r is equal to
Просмотров 192Год назад
If the constant term in binomial expansion of (2x^r 1/x²) is 180 then r is equal to
The number of elements in the set { 1,2,3....100} | 11^n 10^n +9^n is
Просмотров 78Год назад
The number of elements in the set { 1,2,3....100} | 11^n 10^n 9^n is
The number of rational terms in the binomial expansion of (4^1/4 +5^1/6) ^120 is
Просмотров 159Год назад
The number of rational terms in the binomial expansion of (4^1/4 5^1/6) ^120 is
The term independent of x in the expansion of [x+1/(x⅔-x⅓+1) - x-1/(x-x½)] is equal to
Просмотров 25Год назад
The term independent of x in the expansion of [x 1/(x⅔-x⅓ 1) - x-1/(x-x½)] is equal to
Let the coefficients of third and fifth terms in the expansion of (x+a/x²)^n be in the ratio 12:8:3
Просмотров 14Год назад
Let the coefficients of third and fifth terms in the expansion of (x a/x²)^n be in the ratio 12:8:3
Let m n€N and gcd(2 n) =1 .If 30(30c0 ) +29(30 C1) +...+2(30c28) +1(30c29) =n.2^m them n+m
Просмотров 27Год назад
Let m n€N and gcd(2 n) =1 .If 30(30c0 ) 29(30 C1) ... 2(30c28) 1(30c29) =n.2^m them n m
Let n be a positive integer.Let A=sigma ((-1)^k nCk[ (1/2)^k +(3/4)^k+(7/8)^k+(15/16)^k +(31/32)^k]
Просмотров 171Год назад
Let n be a positive integer.Let A=sigma ((-1)^k nCk[ (1/2)^k (3/4)^k (7/8)^k (15/16)^k (31/32)^k]
The total number of two digit numbers n such that 3^n + 7^n is a multiple of 10 is
Просмотров 675Год назад
The total number of two digit numbers n such that 3^n 7^n is a multiple of 10 is