Question

a) Write down the second and third terms of the following sequences. (i) Rule: To get the next term subtract 3 from the previous term. First term = 17. 17 (ii) Rule: To get the next term multiply the previous term by 5 and then add 2. First term = 3. 3 b) Here are the first four terms of another sequence. 6 11 16 21 Write an expression for the nth term of this sequence.

Answer 1

a) i)

Given that the first term of the sequence is 17 and to get the next term we have to subtract 3 from the previous term.

So, the second term will be 17 - 3 = 14.

The third term will be 14 - 3 = 11.

ii)

Given that the first term of the sequence is 3 and to get the next term we have to multiply the previous term by 5 and then add 2.

So, the second term will be 5x3 + 2 = 17.

The third term will be 5x17 + 2 = 87.

b)

The given sequence is 6, 11, 16, 21..

First term is 6. To find the next term, we have to add 5 to the previous term.

So, the expression for the nth term of this sequence is given below:

`a_n=a_(n-1)+5`