The 10th term of an AP is 100 and 12th term is 124.Find the
common difference of the AP
Answers
Answered by
1
Answer:
12
Step-by-step explanation:
124 = 100 + (3 - 1)d
24 = 3d - d
24 = 2d
d = 12
Answered by
41
- The 10th term of an AP is 100
- The 12th term of the AP is 124
- Common difference of the AP
We know that ,
⚊⚊⚊⚊ ⓵
Where ,
- = nth term
- a = First term
- n = Number of terms
- d = Common difference
- = 100
- a = a
- n = 10
- d = d
⟮ Putting the above values in ⓵ ⟯
➜
➜
➜ 100 = a + 9d ⚊⚊⚊⚊ ⓶
- = 124
- a = a
- n = 12
- d = d
⟮ Putting the above values in ⓵ ⟯
➜
➜
➜ 124 = a + 11d ⚊⚊⚊⚊ ⓷
Equation ⓷ - ⓶
➜ 124 - 100 = a + 11d - a - 9d
➜ 24 = 2d
➜
➨ d = 12
- Hence the common difference is 12
Similar questions
World Languages,
2 months ago
Hindi,
2 months ago
Physics,
2 months ago
French,
5 months ago
Science,
11 months ago