NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.2 Question 1(v)

Question:

Fill in the blanks in the following table, given that a is the first term, d the common difference and a_n the nth term of the AP: a=3.5 d=0 n=105 a_n=?

Given:

a = 3.5, d = 0, n = 105

To Find:

an (the nth term of the AP)

Formula:

The formula for the nth term of an arithmetic progression (AP) is given by:

an = a + (n - 1)d

Solution:

We are given a = 3.5, d = 0, and n = 105. We need to find an.

Using the formula an = a + (n - 1)d, we substitute the given values:

an = 3.5 + (105 - 1) × 0

⇒ an = 3.5 + (104) × 0

⇒ an = 3.5 + 0

⇒ an = 3.5

Result:

Therefore, the 105th term (a₁₀₅) of the AP is 3.5

Next question solution:

NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.2 Question 2(i)

Explore more in Arithmetic Progressions chapter:

Click this link to explore more NCERT Class X Chapter 5 Arithmetic Progressions solutions

Explore more:

Click this link to explore more NCERT Class X chapter solutions

© Kaliyuga Ekalavya. All rights reserved.