Question

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.

Answer 1

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

Answer 2

ok

Answer 3

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

Answer 4

so what would i say

Answer 5

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

Answer 6

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

Answer 7

umm

Answer 8

ok

Answer 9

so how do u think u should explain it?

Answer 10

i have noo clue

Answer 11

k... what's the first term?

Answer 12

read again what jack1 wrote originally

Answer 13

5 ?

Answer 14

8

Answer 15

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

Answer 16

8

Answer 17

it goes up by 8

Answer 18

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

Answer 19

ok thank you sooo much

Answer 20

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

Answer 21

ok

Answer 22

37+ 8 =?

Answer 23

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

Answer 24

um

Answer 25

37 + 8 = 46 @UsukiDoll

Answer 26

close there's a typo

Answer 27

what do you mean

Answer 28

37+8 is actually 45

Answer 29

ok sorry

Answer 30

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 = ?

Answer 31

45+8=53

Answer 32

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

Answer 33

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 = ???

Answer 34

53+8=61

Answer 35

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

Answer 36

ok

Answer 37

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

Answer 38

so that's about it for this part.

Answer 39

ok
so what do i write for my final answer

Answer 40

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

Answer 41

ok thank you for your help