Question

Determine t₂₁ , given that t₁=25 and tₙ =3n² - 50

Answer 1

To determine the value of t₂₁ with the formula tₙ = 3n² - 50 and t₁ = 25, we substitute n = 21 into the formula and perform the calculation to find that t₂₁ equals 1273.

Step-by-step explanation:

To determine the value of t₂₁, given the formula tₙ = 3n² - 50 and the known value t₁ = 25, we substitute n = 21 into the given formula.

Step-by-step solution:

1. Identify the given formula for tₙ: tₙ = 3n² - 50.
2. Substitute n = 21 into the formula to find t₂₁: t₂₁ = 3(21)² - 50.
3. Square 21 to get 441 and multiply by 3 to get 1323.
4. Subtract 50 from 1323 to get 1273.
5. Hence, t₂₁ = 1273.