Sequences vs Series

Determine whether the sequence converges or diverges. If it converges, give the limit.

• Diverges

• Converges to 1

• Converges to 1000

Determine whether the sequence converges or diverges. If it converges, give the limit.

• Diverges

• Converges to 1

• Converges to 0

Find an explicit rule for the nth term of the sequence.

• a_n= 15+(n-1)4

• a_n= -15+(n-1)4

• a_n= -15+(n-1)3

• a_n= 4n -19

Find an explicit rule for the nth term of the sequence.

• a_n= 7(-1)^n-1

• a_n= -7(1)^n-1

• a_n= 7(-1)ⁿ

• a_n= 7(1)^n-1

Find an explicit rule for the nth term of the sequence

• a_n= 36n-337

• a_n= -201+36(n-1)

• a_n= 37n-338

• a_n= -301+37(n-1)

Find an explicit rule for the nth term of the sequence.

• a_n= -2(4)^n-1

• a_n= -2(4)ⁿ

• a_n= 2(-4)^n-1

• a_n= 2(4)^n-1

Use the formula S_n to find the sum of the first five terms of the geometric sequence.

• 124/3

• 41

• 42

• 125/3

Find the sum of the arithmetic series using a formula.

• 516, 240

• 516,242

• 116, 242

• 506, 242

Find the sum of the arithmetic series using a formula. The first 42 terms of the series whose terms are a_n=10-5n

• -4090

• -3895

• -4095

Find the sum of the geometric series.

• 248

• 124

• 120

• 240