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1.

The n-th term of an arithmetic sequence with first term a and common difference d is given by:

T_n = a + (n - 1) * d

T_n = a + n * d

T_n = a * r^{n − 1}

T_n = 1/2 n (2a + d)

2.

In the arithmetic sequence (3, 7, 11, 15, ...), the common difference d and the 20th term (T_20) are respectively:

d = 4 and T_20 = 79

d = 5 and T_20 = 98

d = 3 and T_20 = 60

d = 4 and T_20 = 83

3.

The common ratio r of the geometric sequence (64, 32, 16, 8, ...) is:

r = 2

r = 4

r = -1/2

r = 1/2

4.

The number of terms in the finite arithmetic sequence (5, 9, 13, ..., 81) is:

20 terms

21 terms

19 terms

25 terms

Lesson 1 Quiz: Integration Techniques (Substitution and By Parts) and Definite Integrals