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The 7th and 21st terms of an AP are 6 and -22 respectively. Find the 26th term

A. -34 B. -32 C. -12 D. -10 Answer: Option B
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Solution(By Apex Team)

7th term = 6 21st term = -22 That means, 14 times common difference or -28 is added to 6 to get -22 Thus, d = -2 7st term = 6 = a + 6d Or, a + (6 × -2) = 6 Or, a = 18 26st term = a + 25d = 18 -25 × 2 = -32

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