Mathematics Past Questions and Answers

In an arithmetic sequence with 25 terms, if the first term is 60 and last term is -12, the sum of the terms of the sequence is

In an arithmetic sequence whose 4th term is 14 and whose 11th term is 70, the first term and common difference are

In an arithmetic sequence whose 4th term is 14 and whose 11th term is 70, the sum of the first 12 terms of the sequence is 15.

Ann goes swimming regularly. She wants to improve her fitness, so she decides to swim 10 lengths in the first session and increase the number of lengths she swims by 2 every session. When she teaches 50 lengths in a session she will not increase the number any further. After how many session does Ann swim 50 lengths for the first time?

Ann goes swimming regularly. She wants to improve her fitness so she decides to swim 10 lengths in the first session and increase the number of lengths she swims by 2 every session. When she reaches 50 lengths in a session she will not increase the number any further. Ann decides she
will give herself a reward when she has swum a total of 400 lengths.
After how many sessions does she get her reward?