Does anyone know this?

26

Step-by-step explanation:

I'm just guessing so asit for another snser

Step-by-step explanation:

Let the first term of the arithmetic sequence be a and common difference be d

Then, t2 = -5

or, a+(n-1)d= -5

or, a+(2-1)d= -5

or,a+ d = -5 (i)

Again, t6= 7

or, a+(6-1)d= 7

or, a + 5d = 7(ii)

Now equation (ii) - (i),

a+5d - ( a+d)= 7-(-5)

a+5d-a-d = 7+5

4d= 12

d = 3

From equation (i),

a +d=-5

a+3= -5

a=-5-3 = -8

t5 = a+(5-1)d

= -8+4(3)

= -8+12

= 4