IDNStudy.com, ang platform na nag-uugnay ng mga tanong sa mga sagot ng eksperto. Magtanong at makakuha ng detalyadong sagot mula sa aming komunidad ng mga eksperto.

Find the 10th term of the arithmetic sequence where the first term a1 is 3 and the common difference ddd is 7

Sagot :

Answer:

66

Step-by-step explanation:

To find the 10th term of an arithmetic sequence, we can use the formula:

a_n = a_1 + (n-1)d

where:

- a_n is the nth term of the sequence

- a_1 is the first term of the sequence

- n is the term number we want to find

- d is the common difference of the sequence

Given:

- a_1 = 3 (first term)

- d = 7 (common difference)

- n = 10 (we want to find the 10th term)

Substitute the values into the formula:

a_{10} = 3 + (10-1) 7

a_{10} = 3 + 9 × 7

a_{10} = 3 + 63

a_{10} = 66

Therefore, the 10th term of the arithmetic sequence with a first term of 3 and a common difference of 7 is 66.