Find the 52nd term of the arithmetic sequence -24,-7, 10

naivlingr

naivlingr

Answered question

2021-08-20

Find the 52nd term of the arithmetic sequence -24,-7, 10

Answer & Explanation

Mayme

Mayme

Skilled2021-08-21Added 103 answers

1st term, a1=24 
Common difference, d=(7)(24)=17 
52nd term, a52=a+(521)d=24+51×17=843 (answer)

Jeffrey Jordon

Jeffrey Jordon

Expert2022-07-07Added 2605 answers

Answer is given below (on video)

nick1337

nick1337

Expert2023-05-29Added 777 answers

To find the 52nd term of the arithmetic sequence 24,7,10, we can use the formula for the general term of an arithmetic sequence:
an=a1+(n1)d
where an represents the nth term, a1 is the first term, n is the position of the term, and d is the common difference between consecutive terms.
In this case, a1=24 and the common difference is d=7(24)=17.
Substituting these values into the formula, we can find the 52nd term:
a52=24+(521)×17
Calculating this expression, we have:
a52=24+51×17
Simplifying further:
a52=24+867
Thus, the 52nd term of the arithmetic sequence 24,7,10 is 843.
Don Sumner

Don Sumner

Skilled2023-05-29Added 184 answers

Answer:
843
Explanation:
An=A1+(n1)d
Where:
An is the nth term,
A1 is the first term,
n is the position of the term,
and d is the common difference.
In this case, the first term A1 is -24, and the common difference d can be determined by subtracting the first term from the second term:
d=(7)(24)
d=17
Now we can substitute the values into the formula to find the 52nd term:
A52=24+(521)·17
Simplifying the equation:
A52=24+51·17
Calculating the product:
A52=24+867
A52=843
Therefore, the 52nd term of the arithmetic sequence -24, -7, 10 is 843.

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