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

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

Question:

Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the AP: a=? d=-3 n=18 an=-5

Given:

d = -3, n = 18, an = -5

To Find:

The first term 'a'

Formula:

an = a + (n-1)d

Solution:

We are given that an = -5, d = -3, and n = 18.

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

-5 = a + (18 - 1)(-3)

⇒ -5 = a + (17)(-3)

⇒ -5 = a - 51

⇒ a = -5 + 51

⇒ a = 46

Result:

Therefore, the first term a = 46

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