What is the 3rd term of 5 and the 7th term?

Example 5 Determine the AP whose 3rd term is 5 and the 7th term is 9. We know that an = a + (n – 1)d From (1) & (2) 5 – 2d = 9 – 6d 6d – 2d = 9 – 5 Given 3rd term is 5 a3 = a + (3 – 1)d 5 = a + 2d a = 5 – 2d Given 7th term is 9 a7 = a + (7 – 1)d (टीचू) Maths Science GST Accounts Tax Englishtan

What is the formula to find the nth term of an AP?

Formula Lists General Form of AP a, a + d, a + 2d, a + 3d, . . . The nth term of AP an = a + (n – 1) × d Sum of n terms in AP S = n/2 [2a + (n − 1) × d] Sum of all terms in a finite AP with the n/2 (a + l)

What is the sum of AP when the last term is given?

Sum of AP when the Last Term is Given. Formula to find the sum of AP when first and last terms are given as follows: S = n/2 (first term + last term) Formula Lists. The list of formulas is given in a tabular form used in AP. These formulas are useful to solve problems based on the series and sequence concept.

What is the sum of four consecutive numbers in an AP?

The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the last term to the product of two middle terms is 7:15. find numbers. the ratio of 11th term to it 18th term is 2:3. find the ratio of sum of 1st five terms to the sum of 1st ten terms?

How do you find the 4th and 7th terms of an AP?

4th term ÷ 1st term = 9÷3 =3. 7th term ÷ 3rd term = 15 ÷ 7 = 2 with remainder 1. Hence the answer. Originally Answered: The 4th terms of an A.P. is three times the first and 7th terms exceeds twice the the third terms by 1.find the first term and the common difference?

What is the first term and common difference of the AP?

The first term is 3 and the common difference is 3. Check: The series of the AP is 3,5,7,9,11,13,15. The 4th term is 9, which is three times the first term. Correct. The 7th term is 15, which is twice the third term plus 1. Correct.