# Verify that the following is an AP, and then write its next three terms. 3,23,33,.... - Mathematics

Sum

Verify that the following is an AP, and then write its next three terms.

sqrt(3), 2sqrt(3), 3sqrt(3), ....

#### Solution

Here,

a= sqrt(3)

a2 = 2sqrt(3)

a3 = 3sqrt(3)

a4 = 4sqrt(3)

a2 – a1 = 2sqrt(3) - sqrt(3) = sqrt(3)

a3 – a2 = 3sqrt(3) - 2sqrt(3)= sqrt(3)

a4 – a3 = 4sqrt(3) - 3sqrt(3)= sqrt(3)

Since, difference of successive terms are equal,

Hence, sqrt(3), 2sqrt(3), 3sqrt(3),… is an AP with common difference sqrt(3).

Therefore, the next three term will be,

4sqrt(3) + sqrt(3), 4sqrt(3) + 2sqrt(3), 4sqrt(3) + 3sqrt(3)

5sqrt(3), 6sqrt(3), 7sqrt(3)

Concept: Arithmetic Progression
Is there an error in this question or solution?

#### APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 5 Arithematic Progressions
Exercise 5.3 | Q 2.(iii) | Page 52
Share