common ratio is 2
first term is 7
last option is the answer
This is a geometric sequence, since each term is found by multiplying the previous term by 2.
The explicit formula for a geometric sequence is given by
, where a₁ is the first term and r is the common ratio, and n is the term number.
For our sequence, the first term is 7. The common ratio is 2. This gives us
Since we want the 10th term,
First step would be to find the tenth term so 56•2=112, 112•2=224, 224•2=448, 448•2=896, 896•2=1,792, 1,792•2=3,594, 3,594•2=7,168. The tenth term is 7,168.
Then, Solve each expression
Finally, decide which one matches the 10th term which is expression number 2 7•2^10
A. 7^10. Hope this helps!
F(1) = 7
F(2) = 14 = 7 x 2^1
F(3) = 28 = 7 x 2^2
F(4) =56 = 7 x 2^3
F(10) = 7 x 2^9
Hope this helps!
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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