Sequences Series and Sigma Notation

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14

• 68

• 63

• 71

Evaluate the series.

• 36

• 85

• 35

• 86

• A.
• B.
• C.
• D.

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

• 59,050

• -59,048

• -78,732

• 118,096

Which of the following represents the SUM of a geometric series with 8 TOTAL terms and whose FIRST TERM is 3 and whose COMMON RATIO is 4?

• 32,756

• 42,560

• 28,765

• 65,535

Evaluate (that is, find the sum) the geometric series below:

4, - 8 , 16 - 32..., n = 7

• 195

• 518

• 516

• 145

Evaluate the geometric series below:
a₁ = -2, a_n = -1458, r = 3

• -2186

• -2408

• 1

• -2703

Which formula is used to find the explicit equation for arithmetic sequences?

• a_n = a_n-1 + d

• a_n = a_n-1 * r

• a_n = a₁ + d(n-1)

• a_n = a₁ * r^n-1

What is the SUM of the first 10 terms for the following geometric series: 2-6+18-54+...

• 59048

• -29524

• 524288

• 3069

Find the general rule for: 64, -32, 16, -8, …  

• 64(1/2)^n-1

• (-32)^n-1

• 64(-1/2)^n-1

• (32)^n-1