NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.2 Question 3(iv)

NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.2 Question 3(iv)

Question:

In the following APs, find the missing terms in the boxes : -4,?,?,?,?,6

Given:

An Arithmetic Progression (AP) with first term a = -4 and last term l = 6. The number of terms n = 6.

To Find:

The missing terms in the AP.

Formula:

The nth term of an AP is given by an = a + (n-1)d, where a is the first term, n is the number of terms, and d is the common difference.

The sum of an AP is given by Sn = n 2 (a + l), where a is the first term, l is the last term, and n is the number of terms.

Solution:

We have a = -4 and l = 6, and n = 6. Using the sum formula:

S6 = 6 2 (-4 + 6) = 6

Now, let's find the common difference (d):

an = a + (n-1)d ⇒ 6 = -4 + (6-1)d ⇒ 10 = 5d ⇒ d = 2

Therefore, the missing terms are:

a2 = -4 + 2 = -2

a3 = -2 + 2 = 0

a4 = 0 + 2 = 2

a5 = 2 + 2 = 4

Result:

The missing terms are -2, 0, 2, 4.

© Kaliyuga Ekalavya. All rights reserved.

Comments

Post a Comment