Question

The algebraic form of an arithmetic sequence is 3n+2.
a)Write down the sequence.
b)Check whether this sequence is a arithmetic sequence.

Answer 1

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Answer 2

SOLUTION

GIVEN

The algebraic form of an arithmetic sequence is 3n+2.

TO DETERMINE

a) Write down the sequence.

b) Check whether this sequence is a arithmetic sequence.

EVALUATION

Here the given algebraic form of an arithmetic sequence is 3n + 2

(a)

For n = 1 we have 3n + 2 = 3 + 2 = 5

For n = 2 we have 3n + 2 = 6 + 2 = 8

For n = 3 we have 3n + 2 = 9 + 2 = 11

For n = 4 we have 3n + 2 = 12 + 2 = 14

For n = 5 we have 3n + 2 = 15 + 2 = 17

So on

So the sequence obtained is

5 , 8 , 11 , 14 , 17 ,...

(b) The sequence obtained is

5 , 8 , 11 , 14 , 17 ,...

First term = 5

Second Term = 8

Third term = 11

Fourth term = 14

This gives

2nd term - 1st term = 3rd term - 2nd term

So common difference exists

Hence this sequence is a arithmetic sequence.

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