Question

10^th term of an arithmetic progression 2,-1,-4,....... is

• A. -21
• B. -23
• C. -25
• D. -27

Answer 1

The Correct Option is C

To solve this problem, we need to find the 10^th term of the arithmetic progression (AP):
2, -1, -4, ......

1. Identify the First Term and Common Difference:
First term \( a = 2 \)
Second term = -1 ⇒ Common difference \( d = -1 - 2 = -3 \)

2. Use the Formula for the n^th Term of an AP:
The formula is:

\( a_n = a + (n - 1)d \)

3. Substituting Values:
To find the 10^th term:

\( a_{10} = 2 + (10 - 1)(-3) = 2 + 9 \times (-3) = 2 - 27 = -25 \)

Final Answer:
The correct option is (C) -25.