9514 1404 393
Answer:
1856
Step-by-step explanation:
The numbers given do not have a common difference, but they do have a common ratio:
58/29 = 116/58 = 2
The general term of a geometric sequence with first term a1 and common ratio r is ...
an = a1×r^(n-1)
For this sequence, a1=29 and r=2, so the general term is ...
an = 29×2^(n-1)
Then the 7th term is ...
a7 = 29×2^(7-1) = 29×64 = 1856
The 7th term is 1856.
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If you prefer, you can double each term until you have 7 of them.
29, 58, 116, 232, 464, 928, 1856, ...
