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Write the nth term of the following sequence in terms of the first term of the sequence.
1, 8, 15, 22, ...

Step-by-step explanation:

Given

Sequence: 1, 8, 15, 22, ...

Required

Find the nth term

The first step is to determine if the sequence is an arithmetic progression or a geometric progression.

It is arithmetic, if the difference between successive terms are equal

i.e.

The above expression represents the common difference, d

The nth term of an arithmetic sequence is calculated by

becomes

Hence, the nth term of the sequence is 7n - 6

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5

b

step-by-step explanation: