Question

Find the Middle term of an A.P.9,15,21,27,....,183​

Answer 1

Answer:

n = [(l - a)d] + 1

a = 9, d = 15 - 9  ==>  6 and l = 183

n = [(183 - 9)/6] + 1

n = (174 / 6) + 1

n = 29 + 1  =  30

n = 30(even)

middle terms are (n/2)th term and [(n/2) + 1]th term

15th term  =  a + 14d

=  9 + 14(6)

=  93

16th term  =  a + 15d

=  9 + 15(6)

=  99

Answer 2

Answer:

first we have to know how many terms are in the given sequence.

n = [(l - a)d] + 1

a = 9, d = 15 - 9  ==>  6 and l = 183

n = [(183 - 9)/6] + 1

n = (174 / 6) + 1

n = 29 + 1  =  30

n = 30(even)

middle terms are (n/2)th term and [(n/2) + 1]th term

15th term  =  a + 14d

                =  9 + 14(6)

                 =  93

16th term  =  a + 15d

                 =  9 + 15(6)

                 =  99

hope it helps you...

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