MHT CET202014 Oct 2020Evening ShiftMathematicsSequences and SeriesActual

1² 2 + 1²+2² 3 + 1²+2²+3² 4 + 1²+2²+3²+4² 5 + upto 8 terms =

Options

Correct answer

B. 74

Step-by-step solution

1² 2 + 1²+2² 3 + 1²+2²+3² 4 + array l general term array _ t=1 ⁸ ² == _ =1 ⁸ ( +1)(2 q+1) 6 = 1 6 _ =1 ⁸ (2+1)(2 +1) (8) = 1 6 _ =1 ⁸ [2 ²+3 r+1 ]= 1 6 [ 2 8 9 17 6 + 3 8 9 2 +8 ]=74

Practice Sequences and Series on Quantrex Academy →

More from Sequences and Series

Every term of a geometric progression is positive , and every term is the sum of the two preceding terms. Then the common ratio of the geometric progression is: 2026 If k is the arithmetic mean of two given quantities and p, q are the geometric means between the same two quantities, then p^3 + q^3 is: 2026 Let ' a ' and ' b ' be two numbers where a < b . The geometric mean of these numbers exceeds the smaller number by 12 and the arithmetic mean is smaller than the larger number by 2 2026 The product of three numbers in geometric progression is 8 and the sum of the product of the numbers taken in pairs is 14. Find the numbers. 2026 Let a₁, a₂, a₃, be a geometric progression of positive integers such that a₁ = 3 and a_ n+2 - 2a_n = a_ n+1 for all positive integers n . What is the value of a₁ + a₂ + a₃ + a₄ + a 2026 The angles of a triangle are in A.P and the greatest angle is double the least angle, then sine of the third angle is 2026 If we insert two numbers between 2 and 4 so that the resulting sequence is in G.P, then the inserted numbers in the order are 2026 If S _ n =1^3+2^3+ . .+ n ^3 and T _ n =1+2+ . .+ n , then 2025 Full Sequences and Series list All MHT CET PYQs