New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Sequences and Series question

2019 · 10 Apr · Shift 1 · Q33

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

PYQ Library
JEE Main
Mathematics
Sequences and Series
2019 · 10 Apr · Shift 1 · Q33

Sequences and Series question

2019 · 10 Apr · Shift 1 · Q33

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

If a1, a2, a3, ............... an are in A.P. and a1 + a4 + a7 + ........... + a16 = 114, then a1 + a6 + a11 + a16 is equal to :

A
38
B
98
C
76
D
64

More from Sequences and Series

Let a1, a2, a3,......be an A.P. with a6 = 2. Then the common difference of this A.P., which maximises the product a1a4a5, is :2019 · MCQ
Let $\leq \frac{1}{2}$ , b and c be in G.P. with common ratio r, where $a e$ 0 and 0 < r $\leq \frac{1}{2}$ . If 3 $a$ , 7b and 15c are the first three terms of an A.P., then the 4th term of this A.P. is :2019 · MCQ
The sum of all two digit positive numbers which when divided by 7 yield 2 or 5 as remainder is -2019 · MCQ
Let a1, a2, a3, ..... a10 be in G.P. with ai > 0 for i = 1, 2, ….., 10 and S be the set of pairs (r, k), r, k $\in$ N (the set of natural numbers) for which $lo g_{e} a_{1}^{r} a_{2}^{k} lo g_{e} a_{4}^{r} a_{5}^{k} lo g_{e} a_{7}^{r} a_{8}^{k} lo g_{e} a_{2}^{r} a_{3}^{k} lo g_{e} a_{5}^{r} a_{6}^{k} lo g_{e} a_{8}^{r} a_{9}^{k} lo g_{e} a_{3}^{r} a_{4}^{k} lo g_{e} a_{6}^{r} a_{7}^{k} lo g_{e} a_{9}^{r} a_{10}^{k}$ …2019 · MCQ
The sum of an infinite geometric series with positive terms is 3 and the sum of the cubes of its terms is $\frac{27}{19}$ .Then the common ratio of this series is :2019 · MCQ
Let a1, a2, . . . . . ., a10 be a G.P. If $\frac{a _{3}}{a _{1}} = 25,$ then $\frac{a _{9}}{a _{5}}$ equals2019 · MCQ
Let x, y be positive real numbers and m, n positive integers. The maximum value of the expression $\frac{x ^{m} y ^{n}}{( 1 + x ^{2 m} ) ( 1 + y ^{2 n} )}$ is :2019 · MCQ
If 19th term of a non-zero A.P. is zero, then its (49th term) : (29th term) is :2019 · MCQ