Php 13,000 × 12 = Php 156,000 yearly
add 500 each year, so we can easily calculate the first 3 terms as a sequence,
156000, 156500, 157000
from the sequence, the common difference is 500,
using the formula for arithmetic sequence, we can find the nth term formula,
[tex]a_n = a_1 + (n - 1)d\\\\a_n = 156000 + (n -1)(500)\\\\a_n = 500n + 155500[/tex]
Now we use the formula to find salary on 5th year, which means n = 5,
[tex]a_n = a_1 + (n - 1)d\\\\a_5 = 156000 + (5 -1)(500)\\\\a_5 = 156000 + (4)(500)\\\\a_5 = 156000 + 2000\\\\a_5 = 158000)[/tex]
So her salary on the 5th year will be Php 158,000.00
Do the same process as above for next problem, get the sequence and common difference and find the nth term formula.
