The 10th term of the AP: 5, 8, 11, 14, ... is
a. 32
b. 35
c. 38
d. 185

Solution:

Given, the series is 5, 8, 11, 14,....

We have to find the 10th term of the series.

An arithmetic progression (AP) is a sequence where the two consecutive terms have the same common difference. It is obtained by adding the same fixed number to its previous term.

From the given series,

First term, a = 5.

Common difference, d = a₂ − a₁ = 8−5 = 3.

The general term in an A.P. is

aₙ = a + (n−1)d.

Substituting the values, we get,

a₁₀ = 5 + (10−1)3.

a₁₀ = 5 + (9)3.

a₁₀ = 5 + 27

a₁₀ = 32.

Therefore, the 10th term is 32.

✦ Try This: What is the 11th term for the given arithmetic progression?

2, 6, 10, 14, 18,....

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 5

NCERT Exemplar Class 10 Maths Exercise 5.1 Sample Problem 1

The 10th term of the AP: 5, 8, 11, 14, ... is, a. 32, b. 35, c. 38, d. 185

Summary:

An arithmetic progression (AP) is a sequence where the two consecutive terms have the same common difference. The 10th term of the AP: 5, 8, 11, 14, ... is 32

☛ Related Questions:

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