2 years ago

Awarding 90 Points

Mathematics

1 answer:

Amanda [17]2 years ago

5 0

Answer:

1090

Step-by-step explanation:

<h3>Given AP </h3>

a₁₂ = 62
a₂₀ = 102

S₂₀

<h3>Solution</h3>

a₁₂ = a + 11d = 62
a₂₀ = a + 19d = 102

<u>Subtract the first equation from the second one:</u>

8d = 40
d = 5

a + 11*5 = 62
a = 62 - 55
a = 7

<u>Find the sum of the first 20 terms:</u>

S₂₀ = 1/2*20(a + a₂₀) = 10(7 + 102) = 10(109)= 1090

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