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Oxana [17]
2 years ago
7

If the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term?

Mathematics
2 answers:
baherus [9]2 years ago
5 0

Answer: 12 would be your answer.

Step-by-step explanation:

pochemuha2 years ago
4 0
The is Answer:

82

Explanation:

We observe that difference between first and second terms <span>=12−5=7</span>
Similarly difference between second and third terms <span>=19−12=7</span>

It shows that the given sequence of numbers is an arithmetic progression with common difference equal to 7.

We know that <span>nth</span> term of an AP whose first term is <span>a1</span> and whose common difference is d is given by 
<span><span>an</span>=<span>a1</span>+<span>(n–1)</span>d</span>

To find the <span>12th</span> term, insert given values in the general expression
<span><span>a12</span>=5+<span>(12–1)</span>7</span>
<span><span>a12</span>=5+<span>(11)</span>7=5+77=<span>82</span></span>

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