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(Solved): find a formula for the nth term of the sequence in terms of n Find a formula for the nth term of the ...

find a formula for the nth term of the sequence in terms of n

$Find a formula for the \( n \)th term of the sequence in terms of \( n \). \[ \frac{1}{6}, \frac{5}{8}, \frac{5^{2}}{10}, \fr$

Find a formula for the

n

th term of the sequence in terms of

n

.

\frac{1}{6}, \frac{5}{8}, \frac{5 ^{2}}{10}, \frac{5 ^{3}}{12}, \frac{5 ^{4}}{14}, \dots

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Expert Answer

The    term of a sequence is the formula that gives the value of    term of the sequence .

The given sequence is,



We need to find the    term of the sequence.

To find the equation for    term we examine the pattern of the numerator and denominator of the given terms .

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