4. For an A.P. if S10 = 150 and S9 = 126, find t9.
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Step-by-step explanation:
S10 = n/2[2a + (n-1)d] = 5[2a + 9d]
= 10a + 45d = 150 --------->(1)
S9 = (9/2)[2a+8d] .
9[2a+8d] = 126×2
18a + 72d = 252.----->(2)
[(1)×18] – [(2)×10].
180a + 810d = 2700.
– (180a + 720d = 2520)
On solving above 2 equations,We get:-
d = 2. and a = 6.
tn= a + (n-1)d.
t9 = 6 + 8(2).
t9 = 22.
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