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Aptitude · Q8

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Competitive Exams · Aptitude · question 8

Q8

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

A.
-34
B.
-32
Answer
C.
-12
D.
-10
E.
-16

Answer: Option B

Solution

Answer: Option B
Solution:
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