Alice is saving her chore money in a bank account. She makes a deposit of $13 in the first month. Then every month, she deposits $25. Alice forms a sequence of her account balance, An where n
refers to the number of months. Which of the statements are correct about this sequence?
Select all that apply.

Option (3) and Option (5)

Step-by-step explanation:

Alice invested $13 in the first month.

Then she deposits $25 every month.

Therefore, sequence formed by the deposit will be an arithmetic sequence.

First term of the sequence will be,

Since, recursive formula formula of a sequence is given by the formula,

Where 'd' = common difference in each term of the sequence

Recursive formula for the sequence will be,

Since, explicit formula for the arithmetic sequence is represented by the formula,

where n = number of term

d = common difference

Therefore, nth term of the sequence formed will be represented by the explicit formula,

      = 13 + 225

      = 238

     = 188

      = 288

Therefore, Option (3) and Option (5) will be the answer.

c is the correct answer

step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.