$3.54 per gallon there ya go
For a geometric sequence
<em>a</em>, <em>ar</em>, <em>ar</em> ², <em>ar</em> ³, …
the <em>n</em>-th term in the sequence is <em>ar</em> <em>ⁿ</em> ⁻ ¹.
The first sequence is
1, 3, 9, 27, …
so it's clear that <em>a</em> = 1 and <em>r</em> = 3, and so the <em>n</em>-th term is 3<em>ⁿ</em> ⁻ ¹.
The second sequence is
400, 200, 100, 50, …
so of course <em>a</em> = 400, and you can easily solve for <em>r</em> :
200 = 400<em>r</em> ==> <em>r</em> = 200/400 = 1/2
Then the <em>n</em>-th term is 400 (1/2)<em>ⁿ</em> ⁻ ¹.
Similarly, the other sequences are given by
3rd: … 4 × 2<em>ⁿ</em> ⁻ ¹
4th: … 400 (1/4)<em>ⁿ</em> ⁻ ¹
5th: … 5<em>ⁿ</em> ⁻ ¹
6th: … 1000 (1/2)<em>ⁿ</em> ⁻ ¹
7th: … 2 × 5<em>ⁿ</em> ⁻ ¹
If Jared has 12 3/4 of snack and his guests ate 2/3 of it, he will have 1/3 left
12 3/4 divide by 3 = 4 1/4
Two integers mean numbers that do not have decimals. Whole numbers
to figure out between what two integers get a calculator and do square root 17
which is 4.123 (to three decimal places)
thus it falls between 4 and 5. since it is above 4 and below 5 and there are no integers in between possible.
Hope this helps :P
Triangle area formula is A = 1/2bh
The base is 6 inches
The height is 5 inches
A=1/2bh
A=1/2(6)(5)
A=3(5)
A=15 inches ^2
