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Q. Find $5^{t h}$ term of an A.P. whose $n^{t h}$ term is 3n - 5.

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Solution

Dear Student,

$n^{th} term = a + (n - 1) d or, a + (n - 1) d = 3 n - 5 or, a + nd - d = 3 n - 5 or, nd + (a - d) = 3 n - 5 Comparing both sides, nd = 3 n or, d = 3 Also, a - d = - 5 or, a - 3 = - 5 or, a = - 5 + 3 = - 2 Fifth term = - 2 + (5 - 1) \times 3 = - 2 + 12 = 10$

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Solve this: Q. Find 5th term of an A.P. whose nth term is 3n - 5.

Dear Student, nth term = a+(n-1)dor, a+(n-1)d= 3n-5or, a+nd-d=3n-5or, nd+(a-d)=3n-5Comparing both sides, nd=3nor, d=3Also, a-d=-5or, a-3=-5or, a=-5+3=-2Fifth term =-2+(5-1)×3 =-2+12 =10

Solve this:
Q. Find $5^{t h}$ term of an A.P. whose $n^{t h}$ term is 3n - 5.

Dear Student,

$n^{th} term = a + (n - 1) d or, a + (n - 1) d = 3 n - 5 or, a + nd - d = 3 n - 5 or, nd + (a - d) = 3 n - 5 Comparing both sides, nd = 3 n or, d = 3 Also, a - d = - 5 or, a - 3 = - 5 or, a = - 5 + 3 = - 2 Fifth term = - 2 + (5 - 1) \times 3 = - 2 + 12 = 10$