precal question

Question

Find the indicated term of the arithmetic sequence with the given description.

The first term is 3600, and the common difference is −16.

 Which term of the sequence is 2848?

n = 

 

Answer 1

Problem:

precal question

Find the indicated term of the arithmetic sequence with the given description.

The first term is 3600, and the common difference is -16.

Which term of the sequence is 2848?

n =

Solution:

Given:

a1 = 3600

d = -16

an = 2848

For Arithmetic series we can use the equation:

an = a1 + d(n - 1)

Solving for n gives us:

n = 1 + (an - a1)/d

n = 1 + (2848 - 3600) / -16

n = 47

THEREFORE

the 47th term is 2848

PS - Search Google or WyzAnt for "Harold's Series Cheat Sheet" for the arithmetic and geometric formulas cheat sheet.

Answer 2

Use the formula a_n = a₁ = (n-1)d to get 2848 = 3600 + (n -1)(-16)

Solving for n gives n = 48