NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 5: Arithematic Progressions - Exercise 5.1Question 5
Class 10 - Mathematics - CHAPTER 5: Arithematic Progressions - Exercise 5.1
Question. 5
The first four terms of an AP with \(a=-2\) and \(d=-2\) are
(A)
−2, 0, 2, 4
(B)
−2, 4, −8, 16
(C)
−2, −4, −6, −8
(D)
−2, −4, −8, −16
Detailed Answer with Explanation:
We are given:
- First term (\(a\)) = −2
- Common difference (\(d\)) = −2
An Arithmetic Progression (AP) means we get the next term by adding the common difference (\(d\)) to the previous term.
Step 1: First term = −2
Step 2: To find the second term, add \(d\) to the first term:
\(-2 + (-2) = -4\)
Step 3: To find the third term, add \(d\) to the second term:
\(-4 + (-2) = -6\)
Step 4: To find the fourth term, add \(d\) to the third term:
\(-6 + (-2) = -8\)
So, the first four terms are: −2, −4, −6, −8.
Correct option: C