| 2024-06-28 | The sum of the following series 1+6+912+22+327 +1212+22+32+429+1512+22+….+5211+…. .... |
| 2024-06-28 | The total number of terms in the expansion of \((x+a)^{100}+\) \((x-a)^{100}\) after simplificat.... |
| 2024-06-28 | The sum, ∑n=17n(n+1)(2n+1)4 is equal to .... |
| 2024-06-28 | Let a1,a2,…an be a given A.P. whose common difference is an integer and Sn=a1+a2+….... |
| 2024-06-28 | The minimum value of 2sinx+2cosx is: .... |
| 2024-06-28 | The sum of the series 1x+1+2x2+1+22x4+1+…+2100x2100+1 when x=2 is:.... |
| 2024-06-28 | If 210+29·31+28·32+….+2·39+310=S-211, then S is equal to:.... |
| 2024-06-28 | In an increasing geometric series, the sum of the second and the sixth term is 252 and the produ.... |
| 2024-06-28 | The product 214,4116,8148,161128… to ∞ is equal to .... |
| 2024-06-28 | If A=∑n=1∞13+(-1)nn and B=∑n=1∞(-1)n3+(-1)nn, then .... |
| 2024-06-28 | The value of ∑n=0194712n+21947 is equal to.... |
| 2024-06-28 | For k∈ℕ, if the sum of the series 1+4k+8k2+13k3+19k4+… is 10, then the value of k is.... |
| 2024-06-28 | If x=∑n=0∞(-1)ntan2nθ and y=∑n=0∞cos2nθ, for 0<θ<&pi.... |
| 2024-06-28 | 132-1+152-1+172-1+…+1(201)2-1 is equal to .... |
| 2024-06-28 | The remainder on dividing 1+3+32+33+….+32021 by 50 is..... |
| 2024-06-28 | Let a1,a2,a3,… be a G.P. of increasing positive numbers. Let the sum of its 6th and.... |
| 2024-06-28 | Let a1,a2,…a30 be an A.P., S=∑i=130ai and T=∑i=115a2i-1. If a5 =27 and S-2T=75, t.... |
| 2024-06-28 | Let a1,a2,a3,…. be an A.P. If a7=3, the product a1a4 is minimum and the sum of its first .... |
| 2024-06-28 | If sum of the first 21 terms of the series log912x+log912x+ log914x+…, where x>0 is 50.... |
| 2024-06-28 | The series of positive multiples of 3 is divided into sets :{3}, {6, 9,12}, {15,18, 21, 24, 27} .... |
| 2024-06-28 | Let AP(a;d) denote the set of all the terms of an infinite arithmetic progression with first ter.... |
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