Write the 150th term of 2 4 6 8 10

1.	Write the 150th term of 2 4 6 8 10
Answer» Given Sequence is ⇒2,4,6,8,10,,,, ⇒First TERM (a) = 2 ⇒Common difference (d) = a₂-a₁ = 4 -2 = 2 To FIND ⇒Number of term 150 Formula ⇒Tₙ = a+(n-1)d Now put the VALUE ⇒T₁₅₀ = 2 + (150-1)×2 ⇒T₁₅₀ = 2 + 149×2 ⇒T₁₅₀ = 2+298 ⇒T₁₅₀ = 300 Answer ⇒T₁₅₀ = 300 More Information ⇒Nth term = a+(n-1)d ⇒Sum = n/2{2a+(n-1)d} or ⇒Sum = n/2(a+l) where l = a + (n-1)d

Answer»

Given Sequence is

⇒2,4,6,8,10,,,,

⇒First TERM (a) = 2

⇒Common difference (d) = a₂-a₁ = 4 -2 = 2

To FIND

⇒Number of term 150

Formula

⇒Tₙ = a+(n-1)d

Now put the VALUE

⇒T₁₅₀ = 2 + (150-1)×2

⇒T₁₅₀ = 2 + 149×2

⇒T₁₅₀ = 2+298

⇒T₁₅₀ = 300

Answer

⇒T₁₅₀ = 300

More Information

⇒Nth term = a+(n-1)d

⇒Sum = n/2{2a+(n-1)d}

⇒Sum = n/2(a+l)

where l = a + (n-1)d

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