Question

The eleventh term of the A.P. \(-62, -59, \dots, 7, 10\) will be

• A. -34
• B. -32
• C. -30
• D. -28

Hint:

In an arithmetic progression, the nth term is found by \(a_n = a + (n - 1)d\).

Answer 1

The Correct Option is B

Step 1: Identify the first term and common difference.
First term \(a = -62\), second term = \(-59\). Hence, common difference \(d = -59 - (-62) = 3\).
Step 2: Use the formula for the nth term.
\[ a_n = a + (n - 1)d \] For the 11th term (\(n = 11\)): \[ a_{11} = -62 + (11 - 1)(3) = -62 + 30 = -32 \] Step 3: Conclusion.
Hence, the 11th term = \(-32\).