If the sixth term of a harmonic progression is 10 and the 11th term is 18, find the 16th term
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Answer:
a16= 26
Step-by-step explanation:
a6=10, a11=18
a+5d=10
a=10-5d (1)
a+10d=18 (2)
putting value of a in (2)
10-5d+10d=18
5d=18-10
5d=8
d=8/5
putting value of d in (1)
a=10-5d
a=10-5(8/5)
a=10-8
a=2
To Find: a16
=a+15d
=2+15(8/5)
=2+3(24)
=2+24
=26
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