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aleksklad [387]
3 years ago
14

What is the 5th term in the sequence d(n)=5/16 (2)^n−1

Mathematics
1 answer:
a_sh-v [17]3 years ago
6 0

Step-by-step explanation:

Hope that given sequence is written like as given below. If it is so, then let us find:

\:  \:  \:  \:  \:  \: d(n) =  \frac{5}{16}  \times  {2}^{n - 1} \\  \therefore \: d(5) =  \frac{5}{16}  \times  {2}^{5 - 1}  \\ \therefore \: d(5) =  \frac{5}{16}  \times  {2}^{4}  \\ \therefore \: d(5) =  \frac{5}{16}  \times 16\\ \therefore \: d(5) = 5 \times 1 \\ \\  \huge \orange{ \boxed{ \therefore \: d(5) = 5 }}

Thus, 5th term of given sequence is 5.

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