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.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.