Answer:
Step-by-step explanation:
Reciprocals:
1/3 = 3
1/19 = 19
a_1 = 3
a_2 = ?
a_3 = ?
a_4 = ?
a_5 = 19
Solving for d:
a_n = a_1 + (n - 1) d
a_5 = a_1 + (n - 1) d
19 = 3 + (5 - 1) d
19 - 3 = 4d
16 = 4d
16/4 = d
d = 4
a_2 = 3 + 4 = 7
a_3 = 7 + 4 = 11
a_4 = 11 + 4 = 15
Harmonic Mean:
a_2 = 1/7
a_3 = 1/11
a_4 = 1/15
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Answers & Comments
Answer:
Step-by-step explanation:
Reciprocals:
1/3 = 3
1/19 = 19
a_1 = 3
a_2 = ?
a_3 = ?
a_4 = ?
a_5 = 19
Solving for d:
a_n = a_1 + (n - 1) d
a_5 = a_1 + (n - 1) d
19 = 3 + (5 - 1) d
19 - 3 = 4d
16 = 4d
16/4 = d
d = 4
a_2 = 3 + 4 = 7
a_3 = 7 + 4 = 11
a_4 = 11 + 4 = 15
Harmonic Mean:
a_2 = 1/7
a_3 = 1/11
a_4 = 1/15