The 6th and 10th term of an arithmetic sequence are 36 and 64 respectively. write the first 3 terms of the Arithmetic progress
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Step-by-step explanation:
a6 = 36
so, a + 5d = 36 ___________(1)
a10 = 64
so, a + 9d = 64 ____________(2)
subtract equation (1) from equation (2)
a + 9d - ( a + 5d ) = 64 - 36
a + 9d - a - 5d = 28
9d - 5d = 28
4d = 28
d = 7
put the value if "d" in equation (1)
a + 5d = 36
a + 5×7 = 36
a + 35 = 36
a = 36 - 35
a = 1
first 3 terms __ a , a+d , a+2d
1 , 8 , 15
I hope this answer is helpful for you
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