the sum of 6th and 8th terms of an arithmetic sequence is 64. what is the sum of 1st and 13th term this sequence, what is the 7th term?
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Answer:
To find - Sum of 1st and 13th term and value of 7th term
Step-by-step explanation:
a6+a8=64
=>a+5d+a+7d=64
=>2a+12d=64
=>a+6d=32____________(i)
a7=a+6d___________(ii)
=>From (i) and (ii)
=>a7=32
a1+a13
let it is equal to 0
=>a+a+12d=0
=>2a+12d=0
=>2(a+6d)____________(iii)
From (i) and (iii)
2(32)
a1+a13=64
Hope this will help you
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