89.6k views
1 vote
Arithmetic Sequences Continued

A. Determine the common difference for each arithmetic sequence, then fill in the blanks.
5, _, _, 17

User Rdtsc
by
8.6k points

1 Answer

2 votes

Answer:

The common difference is 4

5, 9, 13, 17

Explanation:

Given

5, _, _, 17

Solving (a): The common difference

Since it is an arithmetic sequence, the common difference can be solved using:


T_n = a + (n - 1)d

Where


a = 5


T_n = 17


n = 4 i.e. 4 terms

So:


T_n = a + (n - 1)d


17 = 5 +(4 - 1) * d


17 = 5 +3d

Collect like terms


3d = 17 - 5


3d = 12


d =4

Hence, the common difference is 4

Solving (b): Complete the blanks.

To do this, we simply add 4 to each successive terms.

So: 5, 9, 13, 17

User Slinden
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories