Edexcel C1 2010 January — Question 7

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2010
SessionJanuary
TopicArithmetic Sequences and Series

7. Jill gave money to a charity over a 20 -year period, from Year 1 to Year 20 inclusive. She gave \(\pounds 150\) in Year \(1 , \pounds 160\) in Year 2, \(\pounds 170\) in Year 3, and so on, so that the amounts of money she gave each year formed an arithmetic sequence.
  1. Find the amount of money she gave in Year 10.
  2. Calculate the total amount of money she gave over the 20 -year period. Kevin also gave money to the charity over the same 20 -year period. He gave \(\pounds A\) in Year 1 and the amounts of money he gave each year increased, forming an arithmetic sequence with common difference \(\pounds 30\). The total amount of money that Kevin gave over the 20 -year period was twice the total amount of money that Jill gave.
  3. Calculate the value of \(A\).