Question

A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Show your work.
Sn: 2 is a factor of n2 + 7n

Answer 1

Please help

Answer 2

@mathmath333 @Nnesha

Answer 3

Sn = n^2 + 7n

so what is the value of S1?

Answer 4

just substitute 1 for n in the above formula and work it out

Answer 5

are u required to use mathmatical induction here

Answer 6

like in the previous problem

Answer 7

the qustion dont ask for it @mathmath333

Answer 8

ok so sbustitue the values of
\(n=1,2~and~3\)

in

\(n2 + 7n\)

Answer 9

i am unable to post wait a sec i already did that

Answer 10

S(n) : 2 is a factor of n^2 + 7n

Answer 11

S(1) : 2 is a factor of 1^2 + 7*1 ,
S(2) : 2 is a factor of 2^2 + 7*2

Answer 12

are S(1) and S(2) true

Answer 13

i did this but my teacher said : Substitute values of 1, 2 and 3 for n and then work out the formula.
Are each of these a multiple of two or even?

Answer 14

what is
\(1^2 + 7*1=\)

Answer 15

i guess i already did that?

Answer 16

8

Answer 17

is \(2\) a factor of \(8\)

Answer 18

then 53 and S(3) is 30

Answer 19

yes

Answer 20

2*4=8

Answer 21

8 and 30 is multiple of 30

Answer 22

so is it true for \(S_1\)

Answer 23

S(2) : 2 is a factor of 2^2 + 7*2 =53
S(3): 2 is a factor of 3^2+7*3=30
are S(1) and S(3) is true

Answer 24

am i correct? @mathmath333

Answer 25

what is \((2^2+7\times 2)\)

Answer 26

oops i thought its square and cube

Answer 27

18

Answer 28

is \(2\) a factor of \(18\)

Answer 29

yes

Answer 30

2*4=8
2*9=18

Answer 31

and 2*15=30?

Answer 32

please reply soon i have to go teach my little bro he have revision exam tomorrow

Answer 33

its right

Answer 34

thanks