# Here are the first 5 terms of an arithmetic sequence: 2,9,16,23,30 a)write down,in terms of n,an expression for the nth term of...

Here are the first 5 terms of an arithmetic sequence: 2,9,16,23,30 a)write down,in terms of n,an expression for the nth term of this sequence b)Joanna says that 344 is a term in this sequence. Is Joanna right? You must fully explain your answer

## sequence

2,9,16,23,30

2, 2+7*1, 2+7*2, 2+7*3.. so it is 2+n*7 (where n = whole number)

344: 344-2=342/7 = 48.85 what is not a whole number. She is wrong

## the answer is correct

body preview (55 words)

xx xxxxxxx xxxx = a = xxx

xxxxxx xxxxxxxxxx x d x x_{2} - a_{1} x x x x = 7

xx nth xxxx x x_{x} x x + x x x x x x

xx xx xx xx xx a_{n} x x + x x x x )7

xx xx xx xx xx xx xx xxx x x xx - 7

xx xx xx xx xx xx = 7n x x

let 344 be term xx xxxxx x x

xx xxxxx x 2 x x n x x x x

xx 344 = x x 7n - 7

xx 344 xxx 7n - x

xxxxx x x = 7n

xx xxx x 7 = n

xx xxx = xxxxx

xxxx xx xxx x whole no. so xxx xx xxx x term of given A xxx

xx

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