Counting from 1 to 46, how many 4s will you encounter? 8 10 11 12 14
1 answer:
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Answer:
Step-by-step explanation:
The given sequence is
64, 16, 4, 1
It is a geometric series because it has a common ratio .
First term is 64.
The explicit formula of a geometric series is
where, a is first term and r is common ratio.
Substitute a=64 and r=1/4 in the above function.
Therefore, the required explicit formula is .
Answer:
8428
Step-by-step explanation:
According to the Question,
- Given, A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row.
We have a number sequence 13, 18, 23, ...
- We can say that this is an arithmetic sequence because of the common difference 'd', is equal to 5, and the first term 'a1' is equal to 13.
- The formula for the sum of an arithmetic sequence with n terms is given is
.
Substitute the given values into the equation to solve for the sum of the 56 rows of seats.
Therefore, there are 8428 seats in all.