a plant grow up 1.67cm in the first week after that it grow up 4% grow up more than the first week every week, how much will grow up in 11th week?


Question and Answers Forum

All Questions Topic List
None Questions
Previous in All Question Next in All Question
Previous in None Next in None
Question Number 192689 by sciencestudentW last updated on 24/May/23

$a p l a n t g r o w u p 1.67 c m i n t h e f i r s t w e e k$ $a f t e r t h a t i t g r o w u p 4 % g r o w u p m o r e$ $t h a n t h e f i r s t w e e k e v e r y w e e k, h o w m u c h$ $w i l l g r o w u p i n 11 t h w e e k ?$
Commented by sciencestudentW last updated on 24/May/23

$?$
	Answered by Skabetix last updated on 24/May/23

	$I t r e m a i n s 11 - 1 = 10 w e e k s$ $g e o m e t r i c a l se q u e nce$ $the 11^{th} week the plant will grow up :$ $1.67 \times {(1.04)}^{10} \approx 2.47 c m$
	Commented by sciencestudentW last updated on 25/May/23

	$t h a n k s g r e a t s o l o t i o n!$ $t h e t o t a l h i e g h t o f p l a n t i n a l l 11 w e e k$ $w i l l b e 1.67 \times {(1.04)}^{1} + 1.67 \times (1.04) \times 10^{2} + . . . + 1.67 \times {(1.04)}^{10} ? o k ?$
	Answered by manxsol last updated on 25/May/23

	$\begin{array}{cccccccccc} 1 & 1.67 \times 1 . 04^{0} \\ 2 & 1.67 \times 1 . 04^{1} \\ 3 & 1.67 \times 1 . 04^{2} \\ 11 & 1.67 \times 1 . 04^{10} \\ n & 1.67 \times 1 . 04^{n - 1} \\ \sum_{1}^{11} & 1.67 (\frac{1 . 04^{11} - 1}{1.04 - 1}) \end{array}$ $1.67 (\frac{1 . 04^{11} - 1}{1.04 - 1})$ $22.522207$ $n = 11$ $r = 1.04$ $a_{1} = 1.67$ $Σ p r o g r e s i o n g e o m e t r i c =$ $a_{1} \frac{(r^{n} - 1)}{r - 1}$
	Commented by sciencestudentW last updated on 28/May/23

	$n i c e$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum