Find a 20 given that a 3 = 9 and a 8 = 24
1 answer:
Answer:
<u>a₂₀ = 60</u>
Step-by-step explanation:
<u>Given :-</u>
a₃ = 9
a₈ = 24
<u>To find :-</u>
a₂₀
<u>Solving :-</u>
Expand the given values.
a + 2d = 9 -(1)
a + 7d = 24 -(2)
Now subtract (1) from (2).
=> 5d = 15
=> d = 3
a = 9 - 2d
a = 9 - 6
a = 3
<u>Final answer :-</u>
a₂₀
= a + 19d
= 3 + 19(3)
= 3+ 57
= 60
<u>a₂₀ = 60</u>
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