Question

Arithmetic Sequence 2 Find the first three terms and the term named in the proble a_(n)=65-100n Find a_(39) First three terms: 65,165,265a_(39)=3835 First three terms: 65,-35,-135a_(39)=-3835

Answer 1

The first three terms of the arithmetic sequence given by a_n = 65 - 100n are -35, -135, and -235. The 39th term, a_39, is -3835.

Step-by-step explanation:

The question asks to find the first three terms and the 39th term of the arithmetic sequence an = 65 - 100n.

To find the first three terms, we substitute n = 1, 2, and 3 into the formula:

• a1 = 65 - 100(1) = -35
• a2 = 65 - 100(2) = -135
• a3 = 65 - 100(3) = -235

To find the 39th term, a39, we substitute n = 39:

a39 = 65 - 100(39)

a39 = 65 - 3900 = -3835