Question

Find tn for following a.p and tuen find 30th term of Ap 3.8.13.18​

Answer 1

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⠀⠀⠀⠀⠀⠀

Given A.P 3, 8, 13, 18,....

Here..,

t¹ = 3 , t² = 8 , t³ = 18...

d = t² - t¹

⠀= 8 - 3

⠀= 5

⠀⠀⠀⠀⠀⠀⠀⠀

We know that tń = a + ( n -1 ) d

∴ a = 3 , d = 5

∴ tń = 3 + ( n - 1 ) × 5

∴ tń = 3 + 5n - 5

∴ tń = 5n - 2

⠀⠀⠀⠀⠀⠀⠀⠀

30th term = t³⁰

⠀⠀⠀⠀⠀⠀⠀⠀= 5 × 30 - 2

⠀⠀⠀⠀⠀⠀⠀⠀= 150 - 2

⠀⠀⠀⠀⠀⠀⠀= 148

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