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Firlakuza [10]
2 years ago
9

Find a 20 given that a 3 = 9 and a 8 = 24

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
8 0

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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