1. An investment firm has a job opening with a salary of $45,000 for the first year....

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1. An investment firm has a job opening with a salary of $45,000 for the first year. During the next 39 years, there is a 5% raise each year. Find the total compensation over the 40-year period.
2. Use the figures shown below.
(i)
20 16 12 8. 4. 2 4 6 8 10 -4

(ii)

an 275 225 175 125 75 25 +►n 4 6 8 10

(a) Without performing any calculations, determine which figure shows terms of a sequence given by an = 20 (4 / 3)n - 1 and which shows term of a sequence by an = 20 (3 / 4)n-1. Explain your reasoning.
(b) Which infinite sequence has terms that can be summed? Explain your reasoning.

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