Question

what is the next term ? 2√2, √2, 2, 0​

Answer 1

Answer:

$\huge\bold\red{ANSWER}$

Step-by-step explanation:

$\large{\underline{\rm{\red{SOLUTION :}}}}$

⇒  $\sf\blue{here\:it\:is\:in\:the\:form\:of\:AP}$

⇒ $\sf\blue{by\:applying\:common\:difference\:b-a=c.d}$

                                                 $\sf\blue{\sqrt{2}-2\sqrt{2}=-2}$

⇒ $\sf\blue{now\:they\:are\:asking\:5th\:term}$

            $\sf\blue{T_5=a+(n-1)d}$

              ∴$\sf\blue{a=2\sqrt{2}}$

              ∴$\sf\blue{cd=-2}$

⇒ $\sf\blue{T_5=2\sqrt{2}+(5-1)-2}$

   $\sf\blue{T_5=2\sqrt {2}-8}\\ \isf\blue{if\:we\:simplify\:we\:get\:-2}$