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Put the value of n as 1in equation1
Put the value of n as 1in equation1⇒S₁ = 3(1)² + 5(1)
Put the value of n as 1in equation1⇒S₁ = 3(1)² + 5(1)⇒S₁= 3 + 5
Put the value of n as 1in equation1⇒S₁ = 3(1)² + 5(1)⇒S₁= 3 + 5⇒T₁ = 8
Now, put value of n as 2
Now, put value of n as 2⇒S₂ = 3(2)² + 5(2)
Now, put value of n as 2⇒S₂ = 3(2)² + 5(2)⇒S₂ = 12 + 10
Now, put value of n as 2⇒S₂ = 3(2)² + 5(2)⇒S₂ = 12 + 10⇒S₂ = 22
So, T₁ + T₂ = 22
So, T₁ + T₂ = 22⇒8 + T₂ = 22
So, T₁ + T₂ = 22⇒8 + T₂ = 22⇒T₂ = 22 - 8
So, T₁ + T₂ = 22⇒8 + T₂ = 22⇒T₂ = 22 - 8⇒T₂ = 14First term(a) = 8
First term(a) = 8Common difference (d) = 14 - 8 = 6
First term(a) = 8Common difference (d) = 14 - 8 = 6ak(an) = 164
First term(a) = 8Common difference (d) = 14 - 8 = 6ak(an) = 164Using Formula⇒a + (k - 1)d = 164
⇒a + (k - 1)d = 164⇒8 + (k - 1)6 = 164
⇒a + (k - 1)d = 164⇒8 + (k - 1)6 = 164⇒6k - 6 = 164 - 8
⇒a + (k - 1)d = 164⇒8 + (k - 1)6 = 164⇒6k - 6 = 164 - 8⇒6k = 164 + 6 - 8
⇒a + (k - 1)d = 164⇒8 + (k - 1)6 = 164⇒6k - 6 = 164 - 8⇒6k = 164 + 6 - 8⇒6k = 162
⇒a + (k - 1)d = 164⇒8 + (k - 1)6 = 164⇒6k - 6 = 164 - 8⇒6k = 164 + 6 - 8⇒6k = 162⇒k = 162/6
⇒a + (k - 1)d = 164⇒8 + (k - 1)6 = 164⇒6k - 6 = 164 - 8⇒6k = 164 + 6 - 8⇒6k = 162⇒k = 162/6⇒k = 27
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