Answer:
492,800
Step-by-step explanation:
Given ith term of an arithmetic sequence as shown:
ai = a(i-1)+2
and a1 = 5
When i = 2
a2 = a(2-1)+2
a2 = a1+2
a2 = 5+2
a2 = 7
When i = 3
a3 = a(3-1)+2
a3 = a2+2
a3 = 7+2
a3 = 9
It can be seen that a1, a2 and a3 forms an arithmetic progression
5,7,9...
Given first term a1 = 5
Common difference d = 7-5= 9-7 = 2
To calculate the sum of the first 700 of the sequence, we will use the formula for finding the sum of an arithmetic sequence.
Sn = n/2{2a1+(n-1)d}
Given n = 700
S700 = 700/2{2(5)+(700-1)2}
S700 = 350{10+699(2)}
S700 = 350{10+1398}
S700 = 350×1408
S700 = 492,800
Therefore, the sum of the first 700 terms in the sequence is 492,800
Given:
sugar cookies = x = 1 batch = 2 3/4 cups of flour
loaves of banana bread = y = 1 loaf = 2 1/2 cups of flour
2 3/4 x + 2 1/2 y <u><</u> 36
the total number of cups of flour used per batch of sugar cookies and loaf of banana bread should not exceed 36 cups of flour.
Answer is 405.3146926 i did it in my calculator
If you wash it 4 times a week and there are 4 weeks in a month, you wash it 16 times a month. This is assuming everymonth has 28 days.
4 times a week * 4 weeks = 16.
<span>0.18181818181 or 0.18 with a line above 18</span>