Write the explicit formula for the arithmetic sequence 11, 14, 17, 20, . . . What is term number 54 in this sequence?

see explanation

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = a₂ - a₁ = 14 - 11 = 3, then

= 11 + 3(n - 1) = 11 + 3n - 3 = 3n + 8

Thus

a₅₄ = 3(54) + 8 = 162 + 8 = 170

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: