Question

Bamboo plants grow rapidly. A bamboo plant is 130 inches tall. Tomorrow it will be 143 inches tall, the next day it will be 156 inches tall, and on the next day it will be 169 inches tall. Write an explicit formula to represent the height of the bamboo plant as an arithmetic sequence. How tall will the plant be in 13 days?

A. A(n) = 130 + 13n; 286 inches

B. A(n) = 130 + (n-1)13; 286 inches

C. A(n) = 130 + (n-1)13; 299 inches

D. A(n) = 130 + 13n; 299 inches <--------

Answer 1

B is correct answer since general term of an arithematic series is A(n)= a+ (n-1)d; where a is the ist term of the series i.e in the question a=130,d is the common difference i.e in the question d=13 since 143-130=13 and 156-143=13 substituting in the mentioned formula the plant will be 286 inches tall

Answer 2

ahaa your correct i miscalculated

Answer 3

you got it

Answer 4

no but the total hight should be 299 in am i correct

Answer 5

its C or D i think

Answer 6

let me tell you how i did it

Answer 7

everyday 13 inches increases and for 13 days it will be 13 x 13 = 169
add 169 to 130 of the frist hieght 130 + 169 = 299

Answer 8

May I join :)?

Answer 9

yes you can

Answer 10

@E.ali

Answer 11

sorry i made a mistake since n=13 because it is asked thirteen days from today and the asnwer is d

Answer 12

lets double check with @E.ali

Answer 13

and the formula would be 130 +13*n

Answer 14

@Yacoub1993 u are correct

Answer 15

Sure !
@Yacoub1993 :First just find this :

Answer 16

OK ?:)

Answer 17

? = 13

Answer 18

Yep :)
Then we have +13 for each days :)
Now we know +13 is a number we have it at all .
OK :)?

Answer 19

ok then

Answer 20

Now for 13 day that h will be 13*13 ok ?:)

Answer 21

which is 169

Answer 22

then

Answer 23

Then we have this :
The first hight =130
and we got 169 .
To find next h :
169+130=299
And we said 13*13 so if get days n get 13 to n
So We have :
130+13n=299
So u was right and D is right :)

Answer 24

@Yacoub1993 :Thank both of u .
@manojbalaji1:

Answer 25

D is incorrect actually, the correct answer is A. A(n) = 130 + 13n; 286 inches