Chapter 11 Review

Find the next three terms in the patters below 8, 14, 20,26....

Add 6 32, 38, 44

Justine earned $20,000 during the first year of her job at city hall. After each year she received a 6% raise. Find her total earnings during the first five years of the job.

$112,741.86

Find the 50th term of the sequence 5, -2, -9,-16...

-338

A rope is shining in such a way that the length of the arc is decreasing geometrically. If the first arc is 18 feet long and the third arc is 8 feet long, what is the length of the second arc?

12 feet

Viola makes gift baskets for Valentines Day. She has 12 baskets left over from last year, and she plans to make 10 more each day. If there are 15 work days until the day she begins to sell the baskets, how many baskets will she have to sell?

162 Baskets

Evaluate the series 6-24+96-384 +...to S1

19.662

Evaluate the series 1000+500+250+...S5

1937.5

Evaluate the infinite geometric series. Round to the nearest hundredth if necessary. 12+6+3

24

Find the missing term of the arithmetic sequence. 24, ___, 34

29

Find the missing term of the geometric sequence 30,____, 270

90

Find the next three terms in the pattern below 1,2,6,16,44

Add the previous terms. and then multiply by 2; 120, 328, 896

Write the explicit formula for the sequence 4,0,-4,-8,-12 Then find A(14+)

Ax=-4n=8;-48

Write the explicit formula for the sequence. Then find the fifth term in the sequence. A1=-5, R=-2

Ax=-5 * (-2)^x-1; -80

Write the explicit formula for the sequence. Then find the fifth term in the sequence. Ax= 120,r=0.3

Ax=120 * (0.3)^x-1; 0.972

Write a recursive formula for the sequences 5,7,9,11,13,... Then find the next term.

Ax=Ax-1+2, where A1=5;15

Find the next three terms in the pattern below 625, 250, 100, 40

Divide by 2.5; 16, 6.4, 2.56

Does the infinite geometric series diverge or converge 1/7 +1/21+1/63+1/189+...

It converges; it has a sum

Does the infinite geometric series diverge or converge 2+10+50+250+....

It diverges; it does not have a sum

Find the next three terms in the pattern below 2,4,8,16

Multiply by 2; 32, 64, 128

Use summation notation to write the series 50+52+54....for 11 terms

Will display answer!!

Consider the sequence 16,-8,4,-2,1,... A. Describe pattern formed in the sequence B. Find the next three terms in the sequence

a. Divide the previous term by -2 b. -1/2, 1/4, -1/8

Is the formula Ax=-4n(n-1) is explicit or recursive? Find the first five terms of the sequence.

explicit; 0,-8, -24, -48, -80

Is the sequence arithmetic? If so, identify the common difference. 11,14,23,38...

no

Is the sequence geometric? If so identify the common ratio 2,-8,-32,-72,...

no

Is the sequence geometric? If so identify the common ratio 3, -12, 48,-192,...

yes, -4

Is the sequence arithmetic? If so, identify the common difference 14, 17,20, 23,...

yes, 3