Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Sequences and Series question

2021 · 26 Aug · Shift 2 · Q42
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Sequences and Series
  5. /2021 · 26 Aug · Shift 2 · Q42

Sequences and Series question

2021 · 26 Aug · Shift 2 · Q42

JEE MainMathematicsSequences and SeriesNumerical+4 / −1
Let a1, a2, ......., a10 be an AP with common difference −-− 3 and b1, b2, ........., b10 be a GP with common ratio 2. Let ck = ak + bk, k = 1, 2, ......, 10. If c2 = 12 and c3 = 13, then ∑k=110ck\sum\limits_{k = 1}^{10} {{c_k}}k=1∑10​ck​ is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from Sequences and Series

  • In an increasing geometric series, the sum of the second and the sixth term is 225​ and the product of the third and fifth term is 25. Then, the sum of 4th, 6th and 8th terms is equal to :2021 · MCQ
  • The total number of 4-digit numbers whose greatest common divisor with 18 is 3, is ​.2021 · Numerical
  • If the arithmetic mean and geometric mean of the pth and qth terms of the sequence − 16, 8, − 4, 2, ...... satisfy the equation 4x2 − 9x + 5 = 0, then p + q is equal to ​.2021 · Numerical
  • If log3​2,log3​(2x−5),log3​(2x−27​) are in an arithmetic progression, then the value of x is equal to ​.2021 · Numerical
  • Three numbers are in an increasing geometric progression with common ratio r. If the middle number is doubled, then the new numbers are in an arithmetic progression with common difference d. If the fourth term of GP is 3 r2, then r2 − d…2021 · MCQ
  • Let a1, a2, a3, ..... be an A.P. If a1​+a2​+....+ap​a1​+a2​+....+a10​​=p2100​, p e 10, then a10​a11​​ is equal to :2021 · MCQ
  • The number of 4-digit numbers which are neither multiple of 7 nor multiple of 3 is ​.2021 · Numerical
  • The sum of the first three terms of a G.P. is S and their product is 27. Then all such S lie in :2020 · MCQ