Question

Find the 25th term of the ap 5, 4.5,4, 3.5, 3...?

Answer 1

It is an Arithmetic progression as given , therefore a1 =5 , a2=4.5

Therefore d =a2-a1 =-0.5

And first term = 5,


Therefore n th term = a+ (n-1)d

Therefore 25 th term = 5+ (25-1)(-0.5)

25th term = 5-12

25 th term = -7


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Answer 2

$\huge{ \underline{\underline{\mathrm{ \red{Question}}}}}$

Find the 25th term of the ap 5, 4.5,4, 3.5, 3...?

$\huge{ \underline{\underline{\mathrm{ \red{Answer}}}}}$

$\large{ \underline{ \sf{Given :-}}}$

• $\sf{a = 5}$
• $\sf{d= 4.5 - 5 = - 0.5}$
• $\sf{n = 25}$

$\large{ \underline{ \sf{Formula :-}}}$

$\boxed{ \sf{ \blue{ a_(n) = a + (n - 1)d}}}$

$\large{ \underline{ \sf{Solution :-}}}$

$\sf \: a_{n} = a + (n - 1)d \\{ \sf a_{25} = 5 + (25 - 1) - 0.5} \\ { \sf \: a_{25} = 5-12.5+0.5}\\ { \sf \: a_{25} = 5.5-12.5 }\\{ \boxed { \sf { \purple { a_{25} = -7}}}}$