The sum of first 15 terms of an A.P. is 750 and its first term is 15 . Find its 20th term.

CBSE Class 10 Maths PYQ · Arithmetic Progressions · Term & Sum Mix · 3 Marks · March 2023 · Standard

Solve it yourself first — then press or tap Show Solution. Use for previous / next question.

623 Marks · March 2023 · Standard
The sum of first $15$ terms of an A.P. is $750$ and its first term is $15$. Find its $20^{th}$ term.
Show SolutionHide Solution
$a = 15, S_{15} = 750$
$\frac{15}{2}[2a + 14d] = 750$
$2(15) + 14d = 100$
$d = 5$
$a_{20} = a + 19d = 15 + 19(5) = 110$
$\text{OR}$
← Previous questionNext question →