geometric progression / geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed non-zero number called the common ratio.
1. The 9th term of an Arithmetic sequence is –7 and the 18th term is 20. Find the sequence.
Solution:
t9 = a + 8d = –7
t18 = a + 17d = 20
t18–t9 gives 9d = 27
d = 3
Substituting d = 3 in t9, we get
a + 24 = – 7,
a = – 31
Hence the Arithmetic sequence. is -31, -28, -25,…
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