Math, asked by niteshshaw723, 7 months ago

please answer this question ​

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Answered by karushingneyngp
2

Answer:

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Answered by vatbamania
1

Answer:

n=36 or n=25

Step-by-step explanation:

20, 19⅓, 18⅔,.... are in A.P.

a=first term = 20

n= number of terms

19⅓ = (19×3)+1= 58/3

18⅔ = (18×3)+2 = 56/3

Now common difference,

d= t3-t2 = 56/3 - 58/3

d= -2/3

Sum of terms, Sn= 300

Sn = (n/2) × [2a + (n-1)×d]

300 = (n/2) × [ 2(20) + (n-1)×(-2/3) ]

(2 gets cancelled out in RHS)

Multiplying the equation by 3.

900= n × [ 60-n+1]

900= 61n - n²

n²-61n+900=0

(n-36)×(n-25) = 0

n=36 or

n=25

Mark my answer as brainliest.

Cheers!

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