Answer:
Step-by-step explanation:
2/55
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Answer:
a10= 2/55
Step-by-step explanation:
a1 =2/37
a15 = 2/65
harmonic sequence is reciprocal of terms form an arithmetic sequence
so were just going to make it in reciprocal
a1= 37 a15 = 65
since there's no common difference, we need to find it first
we use a1+nd and an = a1 +(n-1)d to find the d
we knew that 15th term has the form 37+ 14d
were going to substitute the 14d in (n-1)d
sol.
an = a1 + (n-1)d
a15 = 37 + 14d
65 + 37 + 14d substitute the value
65-37 = 14d
28 = 14d
28/14 = 14d/14
2 = d
then find the 10th term
an = a1 +(n-1)d
a10=37 +(10-1)2 substitute the value
= 37 + (9)2
= 37+18
= 55
we just need to back it in reciprocal
SO THE ANSWER IS 2/55
HOPE IT'S HELP PO
Answer:
2/55
Step-by-step explanation:
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