In arithmetic sequence the first term is 5 and the common difference is 4. determine the 6th term of sequence

The 6th term of the sequence is 25

Step-by-step explanation:

first term = a = 5

common difference = d = 4

The nth term of a sequence is

T_n = a + (n - 1)d

Therefore, the 6th term of the sequence is

T_6 = a + (6 - 1)d

T_6 = a + 5d

T_6 = 5 + 5(4)

T_6 = 5 + 20

T_6 = 25

When you have two log with same base which are adding to each other you can say: 
log(base 8)(2 * 4x^2) = 1 
so u multiplied them to each other:
log(base 8)(8x ^2) = 1 ⇒ so now you can say: 
8^1 = 8x ^2 ⇒ 8 = 8x^2 ⇒ 1 = x^2 ⇒ x =1 :)))
i hope this is helpful
have a nice day