The first four terms of a sequence are $8a+3b$, $10a+2b$, $12a+b$ and $14a$. Write down the

Question

The first four terms of a sequence are $8a+3b$, $10a+2b$, $12a+b$ and $14a$. Write down the next two terms.[2] Express, in terms of $a$, $b$ and $n$, the $n$ th term of the sequence.[2] If the $n$ th term of the sequence is $38a-12b$, find the value of $n$.[2]

Accepted Answer

(i) $16a-b,18a-2b$. (ii) $T_n=(2n+6)a+(4-n)b$. (iii) $n=16$ if $b\ne2a$, or for a symbolic identity; every positive integer n if $b=2a$.

IP1 Class Test (May 2025) Q14

IP1 Class Test (May 2025) Q14

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