the first term of an arithmetic sequence is 4 and the tenth term is 10. how can you find the sixth term of the sequence.

Step-by-step explanation:

Let 1st term be (a) and common difference between sequence be (d). then according to question:

a=4

a+9d=10

i. e 4+9d=10

or, 9d=10 - 4

or, d = 6:9

Hence, d=2/3

Now,

As, sixth term = a+5d

=4+5 (2/3)

=4 + (10/3)

= (12+10) : 3

=22:3

=22/3

Thus, the required sixth term is 22/3.