The first three terms of an arithmetic sequence are x - 1, x + 4, and 2x + 2. Find the value of x

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alenahelenash · Accepted Answer

Let&#039;s find the common difference, denoted by d, of the arithmetic sequence using the given terms.The common difference (d) is the constant value added to each term to get to the next term.The second term is obtained by adding d to the first term:(x+4)=(x−1)+dSimplifying, we have:x+4=x−1+dTo find the value of d, we subtract x from both sides:4=−1+d5=dNow that we know the common difference is 5, we can use it to find the value of x.The third term is obtained by adding d to the second term:(2x+2)=(x+4)+dSubstituting the value of d, we have:(2x+2)=(x+4)+5Simplifying, we get:2x+2=x+9Subtracting x from both sides, we have:x+2=9Subtracting 2 from both sides, we find:x=7Therefore, the value of x in the arithmetic sequence is 7.

The first three terms of an arithmetic sequence

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