Sequences and Series Precalculus

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 explicit rule for the nth term of the sequence. The second and fifth terms of a geometric sequence are -24 and 1536, respectively.

• a_n= 6(-4)^n-1

• a_n= 6×-4^n-1

• a_n= 6(-4)ⁿ

• a_n= -6(4)^n-1

A convergent sequence is.......

• A vertical asymptote

• A set of numbers that don't approach a specific value

• A set of numbers that stay constant

• A set of numbers that approach a specific value

Find S_n for the given series:
a₁=22
d=-8
n=21

• 1911

• -1449

• -2436

• -1218

Find the sum for the following series. 

• 44

• -162

• -682

• 324

Which sequence is arithmetic?

• 4, 8, 16, 32, 64, ...

• 4, 6, 10, 12, 16, ...

• 4, 1, -2, -5, -8, ...

• 4, 2, 1, 1/2, 1/4, ...

A divergent sequence is.......

• A vertical asymptote

• A set of numbers that don't approach a specific value

• A set of numbers that stay constant

• A set of numbers that approach a specific value

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

• 14

• 68

• 63

• 71

Find the missing terms of the arithmetic sequence:
145, ___, ___, ___, 205

• 160, 175, 190

• 165, 185, 195

• 155, 165, 175

• 190, 175, 160

What is the twelfth term in the sequence 3, -6, 12, . . . ?

• -2,048

• 6,144

• -6,144

• -531,441