Activity 2
Find the 10th term of the Harmonic Sequence
1. 1, 1/4, 1/7, 1/10, ...
2. 1/3, 1/5, 1/7, 1/9,...
3. 1/10, 1/5, 0, -1/5,...
4. 1/81, 1/64, 1/47, 1/30,...
5. -1/2, -1/5, - 1/8, -1/11,...
Find the 10th term of the Harmonic Sequence
1. 1, 1/4, 1/7, 1/10, ...
2. 1/3, 1/5, 1/7, 1/9,...
3. 1/10, 1/5, 0, -1/5,...
4. 1/81, 1/64, 1/47, 1/30,...
5. -1/2, -1/5, - 1/8, -1/11,...
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Answer:
1. 1/28
2. 1/21
3. -1/35
4. -1/72
5. -1/29
Example:
1. a10 = 1 + (10-1)3
a10 = 1 + (9)3
a10 = 1 + 27
a10 = 28
1/28
3. a10 = 10 + (10-1)-5
a10 = 10 + (9)-5
a10 = 10 - 45
a10 = -35
-1/35