Find the next two terms by Arithmetic Progression
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√2 , √8 , √18 , √32 ,... are in AP
√8 = 2√2 ; √18 = 3√2 ; √32 = 4√2
Therefore, the AP will be √2 , 2√2 , 3√2 , 4√2 ....
a = a₁ = √2 , a₂ = 2√2
common difference (d) = a₂-a₁ = 2√2 - √2 = √2
Next two terms :
fifth term , a₅ = a + 4d = √2 + 4(√2)
= √2 + 4√2
= 5√2 (or) √50
sixth term , a₆ = a + 5d = √2 + 5(√2)
= √2 + 5√2
= 6√2 (or) √72
Hope it helps
√8 = 2√2 ; √18 = 3√2 ; √32 = 4√2
Therefore, the AP will be √2 , 2√2 , 3√2 , 4√2 ....
a = a₁ = √2 , a₂ = 2√2
common difference (d) = a₂-a₁ = 2√2 - √2 = √2
Next two terms :
fifth term , a₅ = a + 4d = √2 + 4(√2)
= √2 + 4√2
= 5√2 (or) √50
sixth term , a₆ = a + 5d = √2 + 5(√2)
= √2 + 5√2
= 6√2 (or) √72
Hope it helps
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