May 2017

A certain bacterial culture doubles in number every day. If there were 1000 bacteria at the end of the 1st day, how many will there be after 10 days?

Find the 7th term of the geometric sequence beginning with 6, 9, 27/2, …

Find the sum of the arithmetic sequence 2, 4, 6, 8, 10, 12.

A pyramid of blocks has 26 blocks in the bottom row and 2 fewer blocks in each successive row thereafter. How many blocks are there in the pyramid?

The sequence 1, 1, 2, 3, 5, 8, 13 is called the Fibonacci sequence. What is then the tenth term?

Compute the sum of the integers from 1 to 1000.

Compute the following: $\displaystyle \sum_{j = 1}^6 \left[ -3 + 5(j - 1) \right]$.

Compute the following: $\displaystyle \sum_{n = 1}^3 \left( \dfrac{n + 1}{n} \right) - \sum_{n = 1}^3 \left( \dfrac{n}{n + 1} \right)$.

Find $\displaystyle \sum_{n = 1}^4 (2k + 1)$.