Question

Jose takes a job that offers a monthly starting salary of $2200 and guarantees him a monthly raise of $105 during his first year of training. Find the general terms of this arithmetic sequence and his monthly salary at the end of his training

Answer 1

Answer:

$3355

Step-by-step explanation:

Since the job offers starting salary of $2200 and monthly raise of $105 during his first year of training.

∴ a = 2200 and d = 105

Since the general form of A.P is,

a, a + d, a + 2d, a + 3d, .............$a_{n}$

Where,  $a_{n}$ is the last term of A.P or his monthly salary at the end of his training and n is the number of terms in a series.

So, the A.P is:

2200, 2200 + 105, 2200 + 2(105) .........$a_{n}$

2200, 2305, 2410 ............$a_{n}$

Since there is 12 month in a year therefore, n = 12.

$a_{n} = a + (n - 1) d$

.$a_{n}$ = 2200 + ( 12 - 1) × 105

= 2200 + 11 × 105

= 2200 + 1155

= 3355

∴ .$a_{n}$ = 3355

So the monthly salary of Jose at the end of his training is 3355$.