Question

The term to term rule of another sequence is multiply by 2 and add 3 .

the third term of the sequence is 17 what is the first term?

Answer 1

The first term = 2

Explanation:

As the term to term rule of another sequence is:

• Multiply by 2 and add 3.

So

if

3rd term = 17

then

• 4th term = 17×2 + 3 = 37

• 5th term = 37 ×2 + 3 = 77

• 6th term = 77 ×2 + 3 = 157

• 7th term = 157 ×2 + 3 = 317

following this pattern

3rd term = 7×2 +3 = 17

2nd term = 2 ×2 +3 = 7

1st term = -0.5 ×2 +3 = 2