New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Sequences and Series question

2018 · Shift 0 · Q33

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Sequences and Series
2018 · Shift 0 · Q33

Sequences and Series question

2018 · Shift 0 · Q33

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

Let

{a_1}

,

{a_2}

,

{a_3}

, ......... ,

{a_{49}}

be in A.P. such that

\sum\limits_{k = 0}^{12} {{a_{4k + 1}}} = 416

and

{a_9} + {a_{43}} = 66

.

a_1^2 + a_2^2 + ....... + a_{17}^2 = 140m

, then m is equal to

A
33
B
66
C
68
D
34

More from Sequences and Series

If the arithmetic mean of two numbers a and b, a > b > 0, is five times their geometric mean, then $\frac{a + b}{a - b}$ is equal to :2017 · MCQ
If three positive numbers a, b and c are in A.P. such that abc = 8, then the minimum possible value of b is :2017 · MCQ
Let x, y, z be positive real numbers such that x + y + z = 12 and x3y4z5 = (0.1) (600)3. Then x3 + y3 + z3is equal to :2016 · MCQ
Let a1, a2, a3, . . . . . . . , an, . . . . . be in A.P. If a3 + a7 + a11 + a15 = 72, then the sum of its first 17 terms is equal to :2016 · MCQ
If A > 0, B > 0 and A + B = $\frac{π}{6}$ , then the minimum value of tanA + tanB is :2016 · MCQ
If the $2^{n d}, 5^{t h} an d 9^{t h}$ terms of a non-constant A.P. are in G.P., then the common ratio of this G.P. is :2016 · MCQ
If m is the A.M. of two distinct real numbers l and n $(l, n > 1)$ and $G_{1}, G_{2}$ and $G_{3}$ are three geometric means between $l$ and n, then $G_{1}^{4} + 2 G_{2}^{4} + G_{3}^{4}$ equals:2015 · MCQ
Three positive numbers form an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. then the common ratio of the G.P. is :2014 · MCQ