Question

Find the 10^th term of A.P. 5, 1, -3, -7..... is

• A. -31
• B. 31
• C. -27
• D. -35

Answer 1

The Correct Option is A

Step 1: Identify the first term (a) and common difference (d) of the A.P.
First term, \( a = 5 \)
Common difference, \( d = 1 - 5 = -4 \)

Step 2: Use the formula for the \( n^{\text{th}} \) term of an A.P.:
\( a_n = a + (n - 1) \cdot d \)

Step 3: Plug in \( n = 10 \):
\( a_{10} = 5 + (10 - 1) \cdot (-4) \)
\( a_{10} = 5 + 9 \cdot (-4) \)
\( a_{10} = 5 - 36 = -31 \)

The correct option is (A): \(-31\)