Home › CBSE Class 10 › Mathematics › Arithmetic Progressions › The 4th term of an AP is 11 and the 10th term is…
The 4th term of an AP is 11 and the 10th term is 29. Find a and d.
Aa=5, d=2
Ba=2, d=2
Ca=2, d=3
Da=3, d=2
Answer & Solution
Correct answer: C. a=2, d=3
a₁₀ − a₄ = 6d = 29 − 11 = 18 ⇒ d = 3. a = a₄ − 3d = 11 − 9 = 2.
Related questions
For the AP $10,\ 7,\ 4,\ \ldots$, the term that first becomes negative is theThe sum $2 + 4 + 6 + \cdots + 100$ (the first 50 even numbers) isA man's starting salary is ₹8000 with an annual increment of ₹500. His salary in the 6th yIf the sum of the first $n$ terms of a sequence is $S_n = n^2$, its $n$th term $a_n$ isIn an AP, the 3rd term is 12 and the 7th term is 24. The first term $a$ and common differeThe sum of the first $n$ natural numbers $1 + 2 + 3 + \cdots + n$ equalsThe common difference of an AP whose $n$th term is $a_n = 3n + 2$ isHow many terms are there in the finite AP $7,\ 13,\ 19,\ \ldots,\ 205$?