Login/Sign Up
Home » Choose the correct answer from the given four options in the following questions: The first four terms of an AP, whose first term is –2 and the common difference is –2, are (A) – 2, 0, 2, 4 (B) – 2, 4, – 8, 16 (C) – 2, – 4, – 6, – 8 (D) – 2, – 4, – 8, –16
Choose the correct answer from the given four options in the following questions: The first four terms of an AP, whose first term is –2 and the common difference is –2, are
(A) – 2, 0, 2, 4 (B) – 2, 4, – 8, 16 (C) – 2, – 4, – 6, – 8 (D) – 2, – 4, – 8, –16
Arithmetic Progression | CBSE | Class 10 | Exercise 5.1 | Maths | NCERT Exemplar
Choose the correct answer from the given four options in the following questions: The first four terms of an AP, whose first term is –2 and the common difference is –2, are
(A) – 2, 0, 2, 4 (B) – 2, 4, – 8, 16 (C) – 2, – 4, – 6, – 8 (D) – 2, – 4, – 8, –16

Solution:

Option (C) – 2, – 4, – 6, – 8 is the correct answer.

Explanation:

First term, a = – 2

Second Term, d = – 2

{{a}_{1\text{ }}}=~a=\text{ -}2

It is known that the AP’s nth term is

{{a}_{n\text{ }}}=~a\text{ }+\text{ }\left( n\text{ - }1 \right)d

In which,

first term = a

nth term = an

d is the common difference = d

As a result, we have,

{{a}_{2\text{ }}}=~a\text{ }+\text{ }d\text{ }=-2\text{ }+\text{ }\left( -\text{ }2 \right)\text{ }=-4

In the similar way,

{{a}_{3\text{ }}}=~-6

{{a}_{4\text{ }}}=~-8

As a result the A.P is – 2, – 4, – 6, – 8

i

More Material