Answer:
Step-by-step explanation:
Given the explicit function as
f(n) = 15n+4
The first term of the sequence is at when n= 1
f(1) = 15(1)+4
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 15(2)+4
f(2) = 34
d = 34-19
d = 15
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)15)
S20 = 10(38+19(15))
S20 = 10(38+285)
S20 = 10(323)
S20 = 3230.
Sum of the 20th term is 3230
For the explicit function
f(n) = 4n+15
f(1) = 4(1)+15
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 4(2)+15
f(2) = 23
d = 23-19
d = 4
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)4)
S20 = 10(38+19(4))
S20 = 10(38+76)
S20 = 10(114)
S20 = 1140
Sum of the 20th terms is 1140
Answer:
charts huh
Step-by-step explanation:
678/980=x1280 hope this helps
Answer:
30/169
Step-by-step explanation:
We need to know how many marbles in the bag
6 red marbles + 2 white marbles + 5 blue marbles = 13 marbles
P (red) = red / total = 6/13
We then put the marble bad so there are still 13 marbles in the bag
P(blue) = blue /total = 5/13
P (red then blue ) = P(red) *P(blue)
= 6/13 * 5/13 = 30/169
Answer:
2 years 5 months
Step-by-step explanation:
TO solve, convert everything to months
1 year has 12 months, so 5 years would have 60, because we multiply by 5.
Then we add the remaining 2 months, 60+2 =62
Then we can convert 2 years to 24 months. Then we add the remaining 9 months to get 24+9, 33
Then we subtract the 2, and get 62-33= 29, and we divide by 12 to convert to years and months. 29 divided by 12 is 2 and 5 months
so your answer is 2 years and 5 months