The correct answer is C) t₁ = 375,

.
From the general form,

, we must work backward to find t₁.
The general form is derived from the explicit form, which is

. We can see that r = 5; 5 has the exponent, so that is what is multiplied by every time. This gives us

Using the products of exponents, we can "split up" the exponent:

We know that 5⁻¹ = 1/5, so this gives us

Comparing this to our general form, we see that

Multiplying by 5 on both sides, we get that
t₁ = 75*5 = 375
The recursive formula for a geometric sequence is given by

, while we must state what t₁ is; this gives us
Answer:
30
Step-by-step explanation:
This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).
The attached image shows the points and segments joining them.
PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).
PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.
The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.


The perimeter of the triangle is 5 + 12 + 13 = 30
Answer:
20 I think I hope it is correct