Question

note: please make sure to properly format your answers. all dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma ($2,354.67). all percentage values in the answers need to include a percentage sign (%). for all items without specific rounding instructions, round your answers to two decimal places, show both decimal places (5.06). the sixth - grade class at west side school starts a charity collection on monday, with $78 donated by the parents organization. they plan to add $2 to the fund each day. how much will they have after 90 days?

Explanation:

Step1: Identify the initial amount and daily - increase

The initial amount $a = 78$ dollars, and the daily increase $d = 2$ dollars.

Step2: Use the arithmetic - sequence formula

The formula for the $n$th term of an arithmetic sequence is $a_n=a+(n - 1)d$. Here, $n = 90$.
Substitute the values into the formula: $a_{90}=78+(90 - 1)\times2$.

Step3: Calculate the value

First, calculate $(90 - 1)\times2=89\times2 = 178$.
Then, $a_{90}=78 + 178$.
$a_{90}=256$.

Answer:

$\$256.00$