Question

What is the formula for the sequence 10, 8, 6, 4, ...?an = 10 + 2( n - 1)an = -2 + 10( n - 1)an = 10 + (-2)( n - 1)an = 2 + 10( n - 1)

Answer 1

Answer

an = 10 + (-2)( n - 1)

Explanation

The given sequence is 10, 8, 6, 4, ...

What to find:

The formula for the given sequence.

Step-by-step solution:

The first term (a) = 10

The second term of the sequence = 8

The common difference for the sequence = Second term - First term

Common difference = 8 - 10 = -2

The general formula for an Arithmetic sequence is given by:

$a_n=a+d(n-1)$

So putting a = 10 and d = -2, the formula for the sequence is

$a_n=10+(-2)(n-1)$