Question

Which term of the AP 4, 10, 16, ......... is 208​

Answer 1

$\huge{\bold☘}\mathfrak\pink{\bold{\underline{{ ℘ɧεŋσɱεŋศɭ}}}}{\bold☘}$

$\huge\tt\red{\bold{\underline{\underline{❥Question᎓}}}}$Which term of the AP 4, 10, 16, ......... is 208

$\huge\tt{\boxed{\overbrace{\underbrace{\blue{ᴀɴsᴡᴇʀ</p><p> }}}}}$

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Let the nth term of the AP IS 208

Here,first term is here a=4

second term is A2=10

Common difference=A2-a1=10-4=6

Here ,we use this formula

$\boxed{an=a+(n-1)d}$

$\huge↦208 = 4 + (n - 1)d$

$\huge↦208 = 4 + 6n - 6$

$\huge↦208 - 4 + 6 = 6n$

$\huge↦210 = 6n$

$\huge↦= \frac{210}{6} = 35$

$\huge\red{\boxed{n=35}}$

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