Verified Answer :

caylus

Hello,

\(u_{1}=7\\ u_{2}=2*7\\ u_{3}=2^{2}*7\\ u_{4}=2^{3}*7\\\\ u_{n}=2^{n-1}*7\\\\ u_{10}=2^{9}*7=3584\\\)

This is a geometric progression with 7 as the initial term and 2 the common ratio. 
The formula to find the nth term is 7 times 2 to the n-1. 
For the 10th term, n = 10 so the nth term equals 7 times 2 to the 9th power 
or 7 2*9 = 7 times 512 which equals 3584. 
Of your choices given above, the last one seems closest. 
Hope this answers your question!

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