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Blababa [14]
2 years ago
12

The second term of an arithmetic sequence is 13 and the fourth term is 7.

Mathematics
1 answer:
Tomtit [17]2 years ago
5 0

Answer:

<h3>                 \bold{a_{13}=52}</h3>

Step-by-step explanation:

d=a_4-a_3=a_3-a_2\\\\a_3-a_2=a_4-a_3\\\\2a_3=a_2+a_4\\\\2a_3=13+7\\\\2a_3=20\\\\a_3=10\\\\d=10-13=-3\\\\\\a_2=a_1+d\quad\implies\quad a_1=a_2-d=13-(-3)=16\\\\a_n=a_1+d(n-1)\\\\a_{13}=16+(-3)(13-1)=16+36=52

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