SSC (Marathi Semi-English) १० वीं कक्षा - Maharashtra State Board Question Bank Solutions for Algebra Mathematics 1

12, 16, 20, 24, ...... Find 25^th term of this A.P.

If t_n = 2n – 5 is the nth term of an A.P., then find its first five terms

The n^th term of an A.P. 5, 8, 11, 14, ...... is 68. Find n = ?

Find the sum of all numbers from 50 to 350 which are divisible by 6. Hence find the 15^th term of that A.P.

Write an A.P. whose first term is a and the common difference is d in the following.

a = 10, d = 5 

Write an A.P. whose first term is a and common difference is d in the following.

a = –3, d = 0

Write an A.P. whose first term is a and common difference is d in the following.

Write an A.P. whose first term is a and common difference is d in the following.

a = –1.25, d = 3 

Write an A.P. whose first term is a and common difference is d in  the following.

a = 6, d = –3 

Write an A.P. whose first term is a and common difference is d in the following.

a = –19, d = –4

Find the first term and common difference for the following A.P.:

5, 1, –3, –7, ...

Find the first term and common difference for  the A.P.

0.6, 0.9, 1.2,1.5,...

Find the first term and common difference for  the A.P.

127, 135, 143, 151,...

Find the first term and common difference for the A.P.

`1/4,3/4,5/4,7/4,...`

First term and the common differences of an A.P. are 6 and 3 respectively; find S₂₇.

Solution: First term = a = 6, common difference = d = 3, S₂₇ = ?

S_n = `"n"/2 [square + ("n" - 1)"d"]` - Formula

S_n = `27/2 [12 + (27 - 1)square]`

= `27/2 xx square`

= 27 × 45

S₂₇ = `square`

In an A.P. sum of three consecutive terms is 27 and their product is 504, find the terms.
(Assume that three consecutive terms in A.P. are a – d, a, a + d).

Find four consecutive terms in an A.P. whose sum is 12 and sum of 3^rd and 4^th term is 14.

(Assume the four consecutive terms in A.P. are a – d, a, a + d, a +2d)