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Arithmetic Sequence Challenge

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Arithmetic Sequence Challenge

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Test your sequence skills

Created by

Juluis Geneta
Juluis Geneta
Philippines

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Arithmetic Sequence Challenge
 

Arithmetic Sequence ChallengeOnline version

Test your sequence skills

by Juluis Geneta
1

What is the common difference of the sequence 3, 7, 11, 15, ... ?

2

Find the 5th term of the sequence 2, 6, 10, 14, ...

3

If a1=5 and d=3, what is a7?

4

Which formula gives the nth term of an arithmetic sequence?

5

What is the sum of the first 6 terms of an Arithmetic Sequence with a1=4 and d=2?

6

If the 10th term a10=49 and d=3, what is a1?

7

Find the common difference given a1=7 and a4=19.

8

Which sequence is arithmetic?

9

What is the nth term when a1=1 and d=-2?

10

Which sum formula applies to Arithmetic Sequence?

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The difference between consecutive terms is 7-3=4, 11-7=4, etc.

Each term increases by d=4. a5 = 2 + 4*(5-1) = 18.

a7 = 5 + 3*(7-1) = 5+18 = 23.

The nth term adds the common difference (n-1) times d to a1.

S6 = 6/2[2*4+(6-1)2] = 3[8+10] = 3*18 = 54; but check: 4,6,8,10,12,14 sums to 54.

a10 = a1 + 9d => 49 = a1 + 27 => a1 = 22.

a4 = a1 + 3d => 19 = 7 + 3d => d = 4.

Each term increases by 3 in the correct option.

Plug into a_n = a1 + (n-1)d with d=-2.

Standard sum of arithmetic series formula.

 
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