Answer:
33/20
Step-by-step explanation:
1/12 - 1/15 = 5/60 - 4/60 = 1/60
d = 1/60
a_n = a_1 + d(n - 1)
a_11 = 1/15 + (1/60)(11 - 1)
a_11 = 1/15 + 1/6
a_11 = 4/60 + 10/60
a_11 = 14/60
a_11 = 7/30
a_12 = 14/60 + 1/60
a_12 = 15/60
a_12 = 1/4
s_n = n(a_1 + a_n)/2
s_11 = 11(1/15 + 7/30)/2
s_11 = 11(2/30 + 7/30)/2
s_11 = 11(9/30)/2
s_11 = 99/60
s_11 = 33/20
Answer:
589 books in total
Step-by-step explanation:
fiction books= 381
non-fiction= 381-47= 271
total amount of books(ficton books and non-fiction books together)= 589 books in total
Answer:
1.
31, 37, 43, 49, 55
2.
for nth number the value is 31+6(n-1)
3.
24th number, 169-31=138 and 138/6=23
Answer:
which is an irrational number
Step-by-step explanation:
Recall that the repeating decimal 0.7373737373... can be written in fraction form as: 
Now, let's write the number 147 which is inside the square root in factor form to find if it has some perfect square factors:

Then, 7 will be able to go outside the root when we compute the final product requested:

This is an irrational number due to the fact that it is the product of a rational number (quotient between 511 and 99) times the irrational number 