Question

Given the initial donation of $78 and the daily addition of $2, you can use the arithmetic sequence formula aₙ = a₁ + (n - 1)d to find the total amount after 90 days. Calculate a₉₀ to determine the total charity collection amount.

Answer 1

To find the total charity collection amount after 90 days with a daily addition of $2, we can use the arithmetic sequence formula and calculate a₉₀ as $256.

Step-by-step explanation:

To calculate the total charity collection amount after 90 days with a daily addition of $2, we can use the arithmetic sequence formula aₙ = a₁ + (n - 1)d.

Given that the initial donation is $78 and the daily addition is $2, we can plug these values into the formula.

a₉₀ = 78 + (90 - 1) * 2

a₉₀ = 78 + 89 * 2

a₉₀ = 78 + 178

a₉₀ = 256

Therefore, the total charity collection amount after 90 days is $256.