Answer:
The value of a₁₀ is -1158
Explanation:
a₃ = 18
a₆ = - 486
Now,
a₃ = 18 can be written as
a + 2d = 18 ...(1) and
a₆ = - 486 can be written as
a + 5d = - 486 ...(2)
Now, from equation (2) we get,
a + 5d = - 486
a + 2d + 3d = - 486
18 + 3d = - 486 (.°. a + 2d = 18)
3d = - 486 - 18
3d = - 504
d = - 504 ÷ 3
d = - 168
Now, for the value of a put the value of d = -168 in equation (1)
a + 2d = 18
a + 2(-168) = 18
a - 336 = 18
a = 18 + 336
a = 354
Now, For a₁₀
a₁₀ = a + 9d
a₁₀ = 354 + 9(-168)
a₁₀ = 354 - 1512
a₁₀ = -1158
Thus, The value of a₁₀ is -1158
-TheUnknownScientist