find the 7th term from the end of AP 7,10,13.........184, also find the common difference of AP
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Answered by
7
Given :
- A.P : 7 , 10 , 13 ........ 184
- First term ( a ) = 7
- Last term ( Aₙ ) = 184
To Find :
- Common difference of A.P
- 7th term of the A.P
Solution :
★ d = a₂ - a₁ ★
→ d = 10 - 7
→ d = 3
Now we use A.P formula to find 7th term
★ Aₙ = a + ( n - 1 ) d ★
→ 184 = 7 + ( n - 1 ) 3
→ 184 - 7 = ( n - 1 ) 3
→ 177 = ( n - 1 ) 3
→ 177/3 = n - 1
→ 59 = n - 1
→ n = 59 + 1
→ n = 60
There are total 60 terms in given A.P
Now , 7th term from end is 54
★ a₅₄ = a + 53d ★
→ a₅₄ = 7 + 53 × 3
→ a₅₄ = 7 + 159
→ a₅₄ = 166
7th term from end is 166
Answered by
10
Answer:
Heya mate ❤️
d = a₂ - a₁
→ d = 10 - 7
→ d = 3
Now we use A.P formula to find 7th term
Aₙ = a + ( n - 1 ) d
→ 184 = 7 + ( n - 1 ) 3
→ 184 - 7 = ( n - 1 ) 3
→ 177 = ( n - 1 ) 3
→ 177/3 = n - 1
→ 59 = n - 1
→ n = 59 + 1
→ n = 60
There are total 60 terms in given A.P
Now , 7th term from end is 54
a₅₄ = a + 53d
→ a₅₄ = 7 + 53 × 3
→ a₅₄ = 7 + 159
→ a₅₄ = 166
7th term from end is 166
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