What is the next term of the arithmetic sequence? 10,4,-2", "

Calculate Common Difference: To find the next term in an arithmetic sequence, we need to determine the common difference between the terms. The common difference (d) can be found by subtracting the second term from the first term or the third term from the second term. Let's calculate the common difference using the first two terms: d = 4 - 10Find Common Difference: Now, let's perform the subtraction to find the common difference: d = 4 - 10 = -6 This means that each term is 6 less than the previous term.Calculate Next Term: To find the next term, we subtract the common difference from the last given term. The last term given is -2, so we calculate the next term as follows: Next term = -2 - (-6)Find Next Term: Now, let's perform the subtraction to find the next term: Next term = -2 + 6 = 4 So, the next term in the sequence is 4.

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What is the next term of the arithmetic sequence?

10,4,-2", "

What is the next term of the arithmetic sequence? $\newline$ $10, 4, -2, \ldots$

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Q. What is the next term of the arithmetic sequence?

\newline

10, 4, -2, \ldots

Calculate Common Difference: To find the next term in an arithmetic sequence, we need to determine the common difference between the terms. The common difference $d$ can be found by subtracting the second term from the first term or the third term from the second term. Let's calculate the common difference using the first two terms: $d = 4 - 10$
Find Common Difference: Now, let's perform the subtraction to find the common difference: $\newline$ $d = 4 - 10 = -6$ $\newline$ This means that each term is $6$ less than the previous term.
Calculate Next Term: To find the next term, we subtract the common difference from the last given term. $\newline$ The last term given is $-2$ , so we calculate the next term as follows: $\newline$ Next term = $-2 - (-6)$
Find Next Term: Now, let's perform the subtraction to find the next term: $\newline$ Next term = $-2 + 6 = 4$ $\newline$ So, the next term in the sequence is $4$ .