Question 1
Paper 1Medium7 marksA town records the annual grants it gives to a park. The recorded grants are not exactly arithmetic, so an arithmetic model is to be used for estimating future grants. Use the values for years 1 and 5 to estimate the common difference.
(a)[1]
Write down the first term of the arithmetic model.
(b)[2]
Estimate the common difference and hence write an expression for the estimated grant, in year
(c)[2]
Write, in sigma notation, an expression for the total estimated grants in years 1 to 6, and calculate this total.
(d)[2]
Using the model, determine the first year in which the estimated grant exceeds $7000.