Owen receives $10 and puts it into his savings account. He adds $0.50 to the account each day for a number of days, d, after that. He writes the expression 10+0.5(d−1) to find the amount of money in his account after d days. Which statement about his expression is true? 1.It is the product of the initial amount and the additional amount after d days. 2.It is the sum of the initial amount and the number of days, d. 3.It is the difference between the initial amount and the additional amount after d days. 4.It is the sum of the initial amount and the additional amount after d days.

since he receives $10 in the beginning and also after d number of days in regard to the fact that he adds $0.50 each day , both need to be added to get the total after a certain time period

hence they need to add the initial amount and the additional amount after d days

the option that has a similar answer is :

4. It is the sum of the initial amount and the additional amount after d days.

the ANSWER is : 4

aroranishant799 aroranishant799 · Answer 2 · 2022-05-26T21:33:19+02:00

Hence , statement 4- It is the sum of the initial amount and the additional amount after d days is correct

What is Arithmetic Progression?

Arithmetic Progression (AP) is a numerical series in which the difference between any two subsequent numbers is always the same. Arithmetic Sequence is another name for it. For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an Arithmetic Progression with a common difference of 1 between two successive terms (say 1 and 2). (2 -1). Even when dealing with odd and even numbers, the common difference between two consecutive words will be equal to 2.

How to solve?

Given the person receives $10 in the beginning.

Every day he adds $0.50 hence D= $0.50

Hence it becomes 10+0.5(d−1)

Now this formula is used to calculate nth term .

Therefore statements given are :-

1.It is the product of the initial amount and the additional amount after d days.

(false)

2.It is the sum of the initial amount and the number of days, d.

(False)

3.It is the difference between the initial amount and the additional amount after d days.

(false)

4.It is the sum of the initial amount and the additional amount after d days.

(true)

Therefore statement 4 It is the sum of the initial amount and the additional amount after d days is correct

Learn more about arithmetic progression.

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