9514 1404 393
Answer:
a) 3, 8, 63, 3968
b) some other kind
c) continue to evaluate terms sequentially
Step-by-step explanation:
a) To find the first four terms, use the recurrence relation:
t(1) = 3 . . . given
t(2) = t(1)^2 - 1 = 3^2 -1 = 9 -1 = 8
t(3) = 8^2 -1 = 64 -1 = 63
t(4) = 63^2 -1 = 3969 -1 = 3968
The first 4 terms are 3, 8, 63, 3968.
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b) The terms have no common difference or ratio, so the sequence is some other kind of sequence. The ratios of terms form a sequence that is approximately exponential.
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c) Colin can find the 10th term by evaluating successive terms using the recursion relation. (It is approximately 2.0351×10^230.)
