Write the sequence formed by the integer terms of the arithmetic sequence 19/8, 11/4, 25/8........... Is 47 is a term of this sequence
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Answer:
Yes.
Step-by-step explanation:
11/4 - 19/8 = 3/8
so each term has a difference of 3/8
47 = 47*8 / 8 = 376/8.
if 47 is a term of given sequence, then
376/8 = 19/8 +3k/8, where k belongs to Z (+ve integer)
by solving k = 119 ∈ Z
Hence 47 is 119th term in the sequence
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