157 Answered Questions for the topic Sequences

11/21/16

#### AP Calc BC Sequences question...?

If a1+a2+a3+...+a80=2012 and the sequence has a common difference of 5, what is the sum of a2+a4+a6+...+a80? I cannot figure out how to do this! Any help is appreciated (and no, I'm not allowed to...
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11/04/16

#### PLEASE HELP with SEQUENCES!! Determine whether the sequence is increasing, decreasing, or not monotonic.

Determine whether the sequence is increasing, decreasing, or not monotonic.
an = 4n(−7)n
Is the sequence bounded? Yes or No? Explain.

11/04/16

#### Determine whether the sequence is increasing, decreasing, or not monotonic.

Determine whether the sequence is increasing, decreasing, or not monotonic.
an = 1/(6n+7)
Is the sequence bounded? Yes or No? Explain.

09/24/16

#### More sequences

To save money for holiday presents, a person deposits $15 in a savings account on January 1, and then deposits an additional $15 every week thereafter until Christmas.
A. Write a sequence for...
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09/24/16

#### Assistant on sequences

The entry level salary for a teacher is $24000 with a 3% increase after every year of service. Write a sequence for the first 5 years of service.
Find the general term of sequence on part A

09/03/16

#### What is the next number in this sequence: 2, 7, 26, 101, 400, ?

The possible answers are:
15958006951840
1595
800
695
1840

09/02/16

#### Progressions

In a game a basket and 16 potatoes are placed in line at equal intervals of 6 feet. how long will a competitor take to bring the potatoes one by one into the basket , if he starts from the basket...
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06/27/16

#### geometric series

The first 3 terms of a geometric expression are x, 10 − x ,and 2x + 1 where x > 0.Find the value of the common ratio, r.

05/31/16

#### For the geometric sequence, t of 4=54, t of 7=1458 find a, and r

I know you could just use trial and error to see what you could multiply the ones in between (t5 and t6) by to get from t4 to t7 , but is there a way to do this other than trial and error, like...
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05/09/16

#### Finding the general term, in therms of n

What is the general term, in terms of n, for the sequence 4, 8,12, 16, ....?

05/03/16

#### Please help with proof by induction below

let 〈xn〉n=1...∞ be a sequence satisfying xn+1=xn-xn-1 for each n.
Prove that ∀ n ∈ N, xn+6=xn by induction

04/15/16

#### A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the

A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the...
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02/14/16

#### Formula nth term series 4,9,16,25

Hello, could you help me find the formula for this series, please? How do I go about it?
4,9,16,25,...I know it starts with adding 5 and adding 2 more with every number, so adding 7 next, then 9,...
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12/29/15

#### Consider two different arithmetic sequences

Consider two different arithmetic sequences: 3, 14, 25, 36,47,58,69,80, successively by 11 and 2, 9, 16,23 successively by 7. What are the first 10 numbers which appear in both sequences

12/13/15

#### (College Precalc) Arithmetic Sequences - Finding the sum given two random terms

A finite arithmetic series has 90 terms with a5=182 and a86=291.6. What's the sum of the series?
I have no idea where to begin. I know to find the sum when I'm given the first few terms and the...
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11/18/15

#### Vivian wrote the following math sequence, 8,16,32,64,108. Using the multiply by 4 rule what is the next number

why dud they use the multiply by 4 rule

10/13/15

#### how many people have heard the rumor by the end of saturday?

on sunday, bill heard a rumor. on monday, he called jan & stan to tell them the rumor. on tuesday, jan and stan each called two of their friends to tell them the rumor. those people then each...
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09/22/15

#### We have to recurrence relation an = 2an-1 - an-2. Find a2 and a3 if

We have to recurrence relation an = 2an-1 - an-2. Find a2 and a3 if:
a) a0 = 1 og a1 = 0?
b) a0 = 0 og a1 = 1?
c) a0 = 1 og a1 = 2?

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