Question

The nth term of5/2, 5/4, 5/8.

Answer 1

Answer:

5/512

Step-by-step explanation:

since the numerator does not change we leave it. Denominator is being multiplied in power form

Answer 2

$\huge{\boxed{\mathcal\pink{\fcolorbox{red}{white}{Answer}}}}$

In A.P. the formula for nth term :

${\bold{\large{\red{\boxed{an= a +(n-1) d}}}}}$

given:

$a = \frac{5}{2} \\ d = \frac{5}{4} - \frac{ 5}{2} = - \frac{5}{4}$

$an = \frac{5}{8}$

so on putting the values in given equation

$\frac{5}{8}= \frac{5}{2} + (n- 1) \times \frac{ - 5}{4}$

$n = \frac{5}{2}$