7. Common difference of an arithmetic sequence is 7 and 5" term is 37
a) Find its 15" term
b) What is its first term?
c) Which term is 184?
Answers
Answered by
44
Answer:-
Given:
common difference of an AP (d) = 7
a₅ = 37
We know that,
nth term of an AP (aₙ) = a + (n - 1)d
So,
a + (5 - 1)(7) = 37
⟶ a = 37 - 4 * 7
⟶ a = 37 - 28
⟶ a = 9
b) a₁₅ = a + (15 - 1)d
⟶ 9 + 14 * 7
⟶ 9 + 98
⟶ 107
c) Let 184 be the nth term.
⟶ 9 + (n - 1)(7) = 184
⟶ 7n - 7 = 184 - 9
⟶ 7n = 184 - 9 + 7
⟶ 7n = 182
⟶ n = 182/7
⟶ n = 26
∴
- 15th term = 107.
- first term = 9
- 184 is the 26th term
Answered by
3
Answer:
Step-by-step explanation:
a 132
B 12
21
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