Solve the following problems using the sequence: five, thirteen, twenty-one, twenty-nine, thirty-seven, and so on
a. Use words to write a rule for the sequence.
b. Use the rule you wrote in the previous part to find the next three terms of the sequence. Be sure to show all your steps.

- anonymous

- katieb

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- Jack1

5, 13, 21, 29, 37...
difference between each term = 8, 8, 8, 8... i think i see the pattern ;)

- anonymous

ok

- Jack1

so... can you do the rest from here?

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## More answers

- anonymous

so what would i say

- Jack1

u tell me... they want u to use words (not numbers) to explain the pattern... including the starting term

- triciaal

there are 2 types of sequences: arithmetic with a common difference and geometric with a common ratio

- anonymous

umm

- anonymous

ok

- Jack1

so how do u think u should explain it?

- anonymous

i have noo clue

- Jack1

k... what's the first term?

- triciaal

read again what jack1 wrote originally

- anonymous

5 ?

- anonymous

8

- Jack1

yep, perfect
so something like "the sequence starts at 5..."
then... what's the pattern/sequence?

- anonymous

8

- anonymous

it goes up by 8

- Jack1

perfect, so "the sequence begins at 5... then increases by 8... with each new term"

- anonymous

ok thank you sooo much

- Jack1

all good
now part b
what are the next 3 terms in the sequence (after 37?)

- anonymous

ok

- UsukiDoll

37+ 8 =?

- Jack1

no... srsly... what are the next 3 terms? @lauren.ascough

- anonymous

um

- anonymous

37 + 8 = 46 @UsukiDoll

- UsukiDoll

close there's a typo

- anonymous

what do you mean

- UsukiDoll

37+8 is actually 45

- anonymous

ok sorry

- UsukiDoll

it's ok :)
so we got one term... two more terms to go
and since we are increasing by 8 all the time
we solve
45+8 = ?

- anonymous

45+8=53

- UsukiDoll

yup... one more term
53+8 = ?

- Jack1

5, 13, 21, 29, 37...
1st term = 5
2nd term = 5 + 8 = 13
3rd term = 5 + 8 + 8 = 21
4th term = 5 + 8 + 8 + 8 = 29
5th term = 5 + 8 + 8 + 8 + 8 = 37
6th term = ???
7th term = ???
8th term = ???

- anonymous

53+8=61

- UsukiDoll

yes... so our 3 terms are
45, 53, 61

- anonymous

ok

- UsukiDoll

6th term = 5+8+8+8+8+8 = 45
7th term = 5+8+8+8+8+8+ 8 = 53
8th term = 5+8+8+8+8+8+ 8 + 8 =61

- UsukiDoll

so that's about it for this part.

- anonymous

ok
so what do i write for my final answer

- UsukiDoll

Our sequence is increasing by 8 and by following that pattern, we retrieve the next three terms which is 45,53, and 61

- anonymous

ok thank you for your help

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