plzz answer this question
Q.1 (A).1
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Answer:
s10 = 10/2 [2a + 9d] =150
= 5[2a + 9d] =150
= 10a + 45d = 150 -------- eqn 1
s9 = 9/2 [2a + 8d] =126
= 9a + 36d =126 -------------eqn 2
solving both eqauations
10a + 45d =150
9a + 36d = 126
9a = 126 - 36d
a = 126 - 36d / 9 substitute in 1
10a + 45d = 150
10 × 126 - 36d / 9 + 45d = 150
d = 2
substitute in any eqn
9a + 36d =126
9a + 36× 2 = 126
9a + 72 = 126
9a = 126 - 72
9a = 54
a = 54/9
a = 6
so,
t10 = a + 9d
t10 = 6 + 9×2
t10 = 6 + 18
t 10 = 24
so, the correct answer is option a " 24 "
Hope this answers your question !
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