What is the 21st term of the sequence with a1 = -6 and d = 4? choices-
74

70

78

-40

Step-by-step explanation:

The nth term of an arithmetic sequence can be found using the following formula.

Where n is the term, a₁ is the first term, and d is the common difference.

We want to find the 21st term, we know the first term is -6, and the common difference is 4.

Substitute the values into the formula.

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve inside the parentheses.

Multiply 20 and 4.

Add -6 and 80.

The 21st term of the sequence is 74

Here we will use the formula

By using PEMDAS

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°