The first four terms of a sequence are $2, -2, -6, -10, \dots$ Write down the $6^{th}$ term of t

Question

The first four terms of a sequence are $2, -2, -6, -10, \dots$ Write down the $6^{th}$ term of the sequence. Find a formula for the $n^{th}$ term of the sequence, in terms of $n$. Hence find the $150^{th}$ term. Is $-60$ a term in the sequence? Justify your answer.

Accepted Answer

(i) $-18$ (ii) $T_n=-4n+6$ (iii) $-594$ (iv) No, because $n=16.5$

General Term of a Sequence

General Term of a Sequence

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