Question

Nth term

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Answer 1

k so take the first one, you have 5 8 11 14 17 so when n = 1, what do you have?

Answer 2

um,n=+3?

Answer 3

you have noticed that each jump is +3 which is great! but n is refering to the number of the term, so when n = 1, we have 5, when n = 2 we have 8, when n = 3 we have 11. do you see that? what about when n = 4?

Answer 4

oh!the 6th term

Answer 5

would be 20

Answer 6

no. n = 1 means "the 1st term", n = 2 means "the second term"

Answer 7

so n = 1 is the first term which is 5, so n = 1 is 5.

Answer 8

get it?

Answer 9

So what would the nth term be?

Answer 10

wel were going to work out a formula for that.

Answer 11

n=y+3?

Answer 12

no. slow down. when n = 1 (when its the first term) we have 5

Answer 13

yes

Answer 14

when n = 2 we have 5 + 3

Answer 15

oh.umhum

Answer 16

when n = 3 we have 5 + 3 + 3 right?

Answer 17

yes

Answer 18

when n = 3 we have 5 + 3 + 3 + 3

Answer 19

no sorry lol when n = 4

Answer 20

o

Answer 21

ive been an idiot! i mean when n = 4 we have 5 + 3 + 3 + 3

Answer 22

do you agree?

Answer 23

that you are an idiot?
nope.

Answer 24

hah no, do you understand what ive done?

Answer 25

i think so.

Answer 26

what about when we have n = 5 ?

Answer 27

when n is five, thatd be,17

Answer 28

yeah but lets keep it in the form 5 + 3 + 3 + 3 + 3

Answer 29

sorry

Answer 30

dont worry about it. okay so 5 + 3 + 3 + 3 + 3 = 5 + 4(3) because we have 4 threes right?

Answer 31

yes

Answer 32

and for n = 2, 5 + 3 = 5 + 1(3)

Answer 33

what about for n = 6?

Answer 34

um, 3+3+3+3+3+3

Answer 35

no, 5 + 3 + 3 + 3 + 3 + 3

Answer 36

+3

Answer 37

5 + 5(3)

Answer 38

Why five?

Answer 39

because the first term in the sequence is 5

Answer 40

oh.

Answer 41

so the first term is 5, the second term is 5 + 3 = 8, third term is 5 + 3 + 3 = 11

Answer 42

we start of with the first term, 5, and were just adding 1 more 3 each time

Answer 43

ohhh

Answer 44

so like the 100th term would be

Answer 45

1500?

Answer 46

no, the 100th term would be the starting 5 (that you get from the first term) plus 99 3's one from each other term

Answer 47

99*3*

Answer 48

yeah, sofor the 100th term = 5 + 99(3)

Answer 49

Oh

Answer 50

101 term = 5 + 100(3)

Answer 51

o.

Answer 52

what if the sequence was 2, 5, 8, 11, 14?

Answer 53

you would have for the first term, 2
the second term 2 + 3 = 5
thir dterm 2 + 3 + 3 = 8
fourth term 2 + 3 + 3 + 3

Answer 54

um,5+(3*n)?

Answer 55

that is incredibly close!

Answer 56

you always add the first term?

Answer 57

o yay lol:)

Answer 58

its actually 5 + (n-1) 3

Answer 59

because the very first n is used with the 5

Answer 60

But why subtract?

Answer 61

so for thefirst term, 5 + (n - 1)3 = 5 + (1 - 1)3 = 5 + (0)3 = 5

Answer 62

n would be 1,2,3...?

Answer 63

yes, infact you dont have to subtract if you say that the 1st term of the sequence, is actually the 0th term

Answer 64

then n = 0th term, 5 + n3 = 5 + (0)3 = 5 + 0 = 5

Answer 65

the minus comes from the fact that we call the 1st term the 1st and so use a number 1.

Answer 66

what about 5+n+3?

Answer 67

that gets multiplied by the step change of 3, and gives us the second term instead of the first

Answer 68

5 + n + 3 = n + 8

Answer 69

which would be the sequence 9, 10, 11, 12, 13

Answer 70

Im so sorry, im in 8th gradeand am ver confused

Answer 71

for n = 1, n = 2, n = 3

Answer 72

lol sorry, its quite tricky stuff there teaching you

Answer 73

tell me about it.
is there a simpler way of explaining?

Answer 74

not that i know of. i can only explain it in the way i think about it

Answer 75

5 = 5
8 = 5 + 3
11 = 5 + 3 + 3
14 = 5 + 3 + 3 + 3

Answer 76

Could i put nth=5+3*n?

Answer 77

yes absolutely, if you say that 5 is the 0th term, 8 is 1st term, 11 is the 2nd term

Answer 78

thats absolutely right

Answer 79

yay:)

Answer 80

ley me write that

Answer 81

dont leave plz

Answer 82

done

Answer 83

the 2nd one n=10+2

Answer 84

10 + 2n

Answer 85

nth = 10 + 2n

Answer 86

ohmm. ok. but if you multiplied 2 by n,wouldnt that be 20?

Answer 87

wel if you want the 0th term, you get 10 + 2n, which is 10 + 0