# 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 (137 words)

xxxxx term x x = 2

common difference = x = a_{x} - a_{x} = x x x x 7

xxx term = a_{x} = a + x x x 1 ) x

x_{x} = 2 + ( n x x )7

x x + xx x x

x 7n x 5

xxx xxx xx xxxx xx given A P

344 x x + ( x - x ) 7

xxx x x + 7n - 7

344 x 7n x x

344 + 5 x 7n

xxx x x x n

n x 49.14

xxxx xx not a xxxxx xxx so 344 xx xxx x xxxx xx xxxxx x x

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