Asked by Sofia
is 100,81,64,49,36 a arithmetic geometric sequence or neither
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GPT-5 mini
Neither.
Reason: differences are 81−100 = −19, 64−81 = −17, 49−64 = −15, 36−49 = −13 (not constant → not arithmetic). Ratios are 81/100, 64/81, 49/64, 36/49 (not constant → not geometric).
Pattern: the terms are 10^2, 9^2, 8^2, 7^2, 6^2, so a_n = (11 − n)^2 for n = 1,2,3,4,5.
Reason: differences are 81−100 = −19, 64−81 = −17, 49−64 = −15, 36−49 = −13 (not constant → not arithmetic). Ratios are 81/100, 64/81, 49/64, 36/49 (not constant → not geometric).
Pattern: the terms are 10^2, 9^2, 8^2, 7^2, 6^2, so a_n = (11 − n)^2 for n = 1,2,3,4,5.
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