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Question
Submitted by k3sh on Fri, 2013-02-08 03:53
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answered 2 time(s)
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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

Answer
Submitted by Grafa on Fri, 2013-02-08 06:21
teacher rated 46 times
5
price: $0.00

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

Answer
Submitted by mathsexpert on Fri, 2013-02-08 09:11
teacher rated one time
1
price: $1.00

the answer is correct

body preview (137 words)

 

   xxxxx term x x = 2 

  common difference = x = ax - ax = x x x x 7

  xxx term = ax = a + x x x 1 ) x

                    xx = 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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