Math, asked by Swapnshree8851, 1 year ago

The tree grows first day 1/2 of its original size,grows 1/3 of its prevous day size,and grows 1/4 and so on.How many days it will take to grow 100 times to the original size of tree?

Answers

Answered by shivam9986
0

look

ATQ

let the size of tree be x

then on day 1

size of tree = x+ x/2 = 3x/2 (1). [ original height + times the height increased = Height increased

on day 2

size of tree = 3x/2× 1/3 = x/2

size of tree= x/2+3x/2 =2x(2)

on day 3

size of tree = 2x × 1/4= x/2

size= x/2 +2x = 5x/2 (3)

can we see a pattern

yes as difference between (1),(2) and(3) is x/2 then it is an AP

to find n. number of days

an = a+ (n-1)d

100x= 3x/2+ (n-1)x/2. { from. (1) and above }

solve this above to get answer and neglect the -ve value

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