What is the 7th term in the sequence? a_n = 30 - 4n

Solution:

Given arithmetic sequence, a_n = 30 - 4n

Also , n = 7

Substitute n =7 in a_n = 30 - 4n

⇒ a₇ = 30 - 4(7)

a₇ = 30 - 28

a₇ = 2

Example(1):

What is the 15th term of the sequence? a_n = (-1)ⁿ/6ⁿ

Solution:

a₁₅ = (-1)¹⁵/6¹⁵

Example(2):

If the nth term of the arithmetic progression is 3n+7 then find the 10 the term.

Solution:

Given a_n = 3n + 7

A₁₀ = 3(10) + 7 = 37

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What is the 7th term in the sequence? a_n = 30 - 4n

Summary:

The 7th term in the sequence, a_n = 30 - 4n is 2.