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If a(1) = 2 and a(n) - a(n-1) = 2n (n ge...

If `a_(1) = 2` and `a_(n) - a_(n-1) = 2n (n ge 2)`, find the value of `a_(1) + a_(2) + a_(3)+…+a_(20)`.

A

2960

B

3080

C

3560

D

4120

Text Solution

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The correct Answer is:
B
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FIITJEE-PROGRESSION & SERIES -ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
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  5. If xi>0 i=1,2,3,...50 x1+x2...+x50=50 then the minimum value of 1/(x1)...

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  6. If H1. H2...., Hn are n harmonic means between a and b(!=a), then the ...

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  7. The largest interval for which the series 1+(x-1)+(x-1)^(2)+….oo may ...

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  8. If 1/(1^2)+1/(2^2)+1/(3^2)+ tooo=(pi^2)/6,t h e n1/(1^2)+1/(3^2)+1/(5^...

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  9. Let Tr a n dSr be the rth term and sum up to rth term of a series, res...

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  10. Let a1,a2,a3... be in A.P. and ap,aq,ar be in G.P. then value of aq/ap...

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  11. If H(1),H(2),H(3),…..H(2n+1) are in H.P then sum(i=1)^(2n)(-1)^(j)((H(...

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  13. If S(r)= sum(r=1)^(n)T(1)=n(n+1)(n+2)(n+3) then sum(r=1)^(10) 1/(T(r))...

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  14. a,b,c,d,e are five numbers in which the first three are in A.P and th...

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  15. The coefficient of x^15 in the product (1-x)(1-2x) (L-2^2 x) (L-2^3 ...

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  16. Sum of n terms of the series (2n-1)+2(2n-3)+3(2n-5)+... is

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  17. The sum of n terms of the series 5/(1.2). 1/3 +7/(2.3). 1/(3^(2))+9/(...

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  20. Let a(1),a(2),a(3),a(4),a(5) be a five term geometric sequence satisfi...

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