Please Help Tony is working on an arithmetic sequence where t(1)=4 and t(8)=67. Write the explicit equation and recursive equation for this sequence. Is 500 a term of the sequence? Explain why or why not.
A. Explicit Equation

B. Recursive Equation

C. Is 500 a term of the sequence?

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Evaluate cos2θ for cosθ = square root of 3/2

The fence around a quadrilateral-shaped pasture is 3a^2+15a+9 long. three sides of the fence have the following lengths: 5a, 10a-2, a^2-7. what is the length of the fourth side of the fence?