Question

IDle by 4?
9. In the natural numbers UI
10. In an A.P. 17th term is 7 more than its 10th term. Find the common difference​

Answer 1

✰ Correct question:

In an A.P. 17th term is 7 more than its 10th term. Find the common difference

✩ Solution:

We know that

➳ an = a + (n - 1)d

a₁₇ = a + (17 - 1)d

⇒a₁₇ = a + 16d. ➟ (Equation 1)

Similarly,

a₁₀ = a + 9d. ➟ (Equation 2)

According to the question,

a₁₇ - a₁₀ = 7

⇒(a + 16d) - (a + 9d) = 7

⇒a + 16d - a - 9d = 7

⇒16d - 9d = 7

⇒7d = 7

⇒d = 1

∴ The Common Difference is 1

Additional information:

Here

• d is the Common Difference
• n is the number of terms
• a is the first term of the given AP
• an is the nth term