Indicate a general rule for the nth term of the sequence when a1 = 5 and r = √3 .

an = (√3)(5)n + 1
an = (√3)(5)n - 1
an = (5)(√3)n - 1
an = (5)(√3)n + 1

C.

Step-by-step explanation:

We have been given that first term of a geometric sequence is 5 and common ratio is . We are asked to find the general rule for the nth term of the sequence.

We know that a geometric sequence is in form , where,

= nth term of the sequence,

= 1st term of the sequence,

r = Common ratio,

n = Number of terms in sequence.

Upon substituting our given values in general form of geometric sequence, we will get:

Therefore, option C is the correct choice.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: