For the series #k_n=2^n+1#, what is #k#? what is #n#? what is the value of #k# when #n=5#?
2 Answers
The 5th number in the sequence is
#33# .
Explanation:
In this problem,
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When
#k = 2^color(red)1+1 = 2+1 = color(blue)3#
When
#k = 2^color(red)2+1 = 4+1 = color(blue)5#
When
#k = 2^color(red)3+1 = 8+1 = color(blue)9#
When
#k = 2^color(red)4+1 = 16+1 = color(blue)17#
This is the sequence that the problem gives us:
Our job now is to find the next term in the sequence.
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We can do this by plugging in
#k = 2^color(red)5 + 1 = 32 + 1 = color(blue)33#
Final Answer
Explanation:
[Note that I rewrote your question to use