Please someone come check my answers
Write your salary for the next n years as a geometric sequence in explicit form.
What will your salary be in year 5?
How much will you have earned in total salary by the end of your 10th year?

Question

Please someone come check my answers
Write your salary for the next n years as a geometric sequence in explicit form.
What will your salary be in year 5?
How much will you have earned in total salary by the end of your 10th year?

isabelle99 · Answer

1st part:
$$a _{n}=5000(1+0.05)^{n-1}$$

second part:
$$a_{5}=5000(1.05)^{5-1}= 6077.53$$

And i don't know how to do the last one
someone please help

welshfella · Answer

Use the formula for the sum of n terms of a G S


Sn   = a1 *  (1 - r^n)
                    ------
                      1 - r

welshfella · Answer

a1 = 5000, r = 1.05 and n = 10

isabelle99 · Answer

i got 6300 when i did that. is that right