Question

A) Make a table of values for sequence 6,11,16,21,26,.....

B) write an algebraic expression for the general term of the sequence
C) use your expression for general term to calculate the 25th term in the sequence

Answer 1

Answer: See explanation

Explanation:

The sequence is gicen as 6,11,16,21,26. Here, the first term (a) = 6, common difference = 11 - 6 = 5

Therefore, since it's an arithmetic progression, the algebraic expression for the general term of the sequence will be given as:

= a + (n-1)d

= 6 + (n-1)5

= 6 + 5n - 5

The 25th term in the sequence would be:

= 6 + 5n - 5

= 6 + 5(25) - 5

= 6 + 125 - 5

= 126