Question

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Decide whether following sequence is an A.P., if so find the 20th term of the progression.

Decide whether following sequence is an A.P., if so find the 20th term of the progression.
–12, –5, 2, 9, 16, 23, 30,...

Solutions

Expert Solution

The given sequence is –12, –5, 2, 9, 16, 23, 30,...

Here,
First term (a) = a1 = –12
Second term = a2 = –5
Third term = a3 = 2

Common difference (d) = a2 – a1 = –5 – (–12) = 7
                                      = a3 – a2 = 2 – (–5) = 7

Since, a2 – a1 = a3 – a2

Hence, the given sequence is an A.P.

Now,
a20=a+n-1d      =-12+20-17      =-12+197      =121">a20=a+(n−1)d      =−12+(20−1)7      =−12+(19)7      =121

Hence, the 20th term of the progression is 121.

Aman Yadav answered 2 years ago
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