Question

If a = 10 and d = 10, then first four terms will be:
(a) 10, 30, 50, 60
(b) 10, 20, 30, 40
(c) 10, 15, 20, 25
(d) 10, 18, 20, 30​

Answer 1

Answer:

Option (b) 10, 20, 30, 40

Step-by-step explanation:

An arithmetic progression is a sequence of numbers in which the difference between consecutive terms is constant.

The difference between the consecutive terms is called the common difference of progression.

Let d be the common difference of arithmetic progression and a be the initial term of arithmetic progression.

Then the nth term $(a_{n})$  of the sequence is given by

$a_{n}= a+(n-1)d$

Therefore the first 4 terms of progression are

a, (a+d), (a+2d), (a+3d)

Given a = 10 and d = 10

Therefore a = 10, a + d = 20, a + 2d = 30, a + 3d = 40

Therefore the first 4 terms of progression are 10, 20, 30, 40.