Question

the terms in this sequence increase by the same amount each time, work out the three missing terms to complete the sequence: 5, ?, ?, ?, 17...

Answer 1

Terms are: 5, 8, 11, 14, 17

Explanation:

Let's say d the common difference.

`a_1=5\\a_2=a_1+d\\a_3=a_2+d=a_1+2d\\a_4=a_3+d=a_1+3d\\a_5=a_4+d=a_1+4d=17\\\\5+4d=17\\\\4d=12\\d=3\\`

Terms are: 5, 8, 11, 14, 17