Answer:
100
Step-by-step explanation:
Given that 2 ap's have same common difference
given that their 100th terms difference is 100
let the first no. of first series be a1 and second series be a2
then, a(1)100 - a(2)100=100 ---- 1
for 1st series ---- a100=a1+99d
2nd series ---- a100 = a2+99d
keep these values in (1)
then,
a1+99d - (a2+99d) = 100
a1+99d-a2-99d=100
therefore, a1-a2 =100 ------------------------------------------- 2
then the difference between their 1000th terms is
for 1st series --- a1000 = a1+999d
for 2nd series --- a1000 = a2+999d
their 100th terms difference is
a(1)1000-a(2)1000
a1+999d-(a2+999d)
a1+999d-a2-999d
therefore we get the value a1-a2
from (2) a1-a2 = 100
therefore the difference between their 1000th terms is 100
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There are a couple of ways to look at this.
1) Set up a ratio: 2 cups sugar to 5 cups flour = 5 cups sugar to x cups flour
2/5 = 5/x
cross multiply
2x = 25
x = 12 1/2 cups flour
2) Look at the factor by which the cups of sugar was increased and increase
the cups of flour by the same factor.
2x = 5
x = 2.5
The sugar was increased by a factor of 2.5 so increase flour by same factor.
5(2.5) = 12 1/2 cups flour
Answer:
c
Step-by-step explanation:
thats it
Answer:
250 x 0.015 = 3.75
3.75 x 3 = 11.25
Step-by-step explanation:
Ene score of the first test Is 56. Each test score is 2 points higher than the previous test score. So the score of the second test is 56+ 2 = 58.
The score of the third test is 58+ 2= 60.
And so on.
The scores form an arithmetic sequence 56, 58, 60, ......... with common difference 2.
But the values of the given exponential function \(s(n)=28*2^n\), describe a geometric sequence with common ratio 2.
So the exponential function cannot be used to model this problem.
