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Naddika [18.5K]
3 years ago
10

Find the a15 of the sequence 7/8, 1 / 2, 1 / 8, -1 / 4​

Mathematics
2 answers:
abruzzese [7]3 years ago
7 0

Answer:

The term a15 of the sequence is a_{15}=-\frac{35}{8}.

Step-by-step explanation:

The given sequence is

\frac{7}{8},\frac{1}{2},\frac{1}{8},\frac{-1}{4}

It it an arithmetic sequence because the difference between two consecutive terms are same.

The first term of the given AP is

a=\frac{7}{8}

The common difference is

d=\frac{1}{2}-\frac{7}{8}=-\frac{3}{8}

The nth term of an AP is

a_n=a+(n-1)d

where, a is first term and d is common difference.

a_{15}=\frac{7}{8}+(15-1)(-\frac{3}{8})

a_{15}=\frac{7}{8}-(14)(\frac{3}{8})

a_{15}=\frac{7}{8}-\frac{21}{4}

a_{15}=-\frac{35}{8}

Therefore the term a15 of the sequence is a_{15}=-\frac{35}{8}.

Dennis_Churaev [7]3 years ago
3 0

Answer:

=-485/1944( Decimal: 0.249486)

Step-by-step explanation:

7/81/21/8-1/4

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