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3) What is the sum of the first 20 terms of an a.p if a =4 and t20 =36
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Answer:
Sum of n terms = n/2 ( 2 a + ( n - 1 ) d ) .
Here a ( n ) = a + ( n - 1 ) d = last term = a ( 20 )
Sum = 20/2 ( 4 + 36 )
= 10 ( 40 ) = 400.
Sum of the first 20 terms is 400 .
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Answer :-
Given,
Given,a= 4
Given,a= 420th term or last term for finding sum = 36
Given,a= 420th term or last term for finding sum = 36number of term = 20
Given,a= 420th term or last term for finding sum = 36number of term = 20Sum of n term =
Given,a= 420th term or last term for finding sum = 36number of term = 20Sum of n term =(a + l) \times n \div 2(a+l)×n÷2
Given,a= 420th term or last term for finding sum = 36number of term = 20Sum of n term =(a + l) \times n \div 2(a+l)×n÷2where
Given,a= 420th term or last term for finding sum = 36number of term = 20Sum of n term =(a + l) \times n \div 2(a+l)×n÷2wherea= first term = 4
Given,a= 420th term or last term for finding sum = 36number of term = 20Sum of n term =(a + l) \times n \div 2(a+l)×n÷2wherea= first term = 4l = last term = 36
Given,a= 420th term or last term for finding sum = 36number of term = 20Sum of n term =(a + l) \times n \div 2(a+l)×n÷2wherea= first term = 4l = last term = 36and n = no. of terms = 20
Given,a= 420th term or last term for finding sum = 36number of term = 20Sum of n term =(a + l) \times n \div 2(a+l)×n÷2wherea= first term = 4l = last term = 36and n = no. of terms = 20After substituting value
Given,a= 420th term or last term for finding sum = 36number of term = 20Sum of n term =(a + l) \times n \div 2(a+l)×n÷2wherea= first term = 4l = last term = 36and n = no. of terms = 20After substituting valueSum = (4 + 36)X 20/2
Given,a= 420th term or last term for finding sum = 36number of term = 20Sum of n term =(a + l) \times n \div 2(a+l)×n÷2wherea= first term = 4l = last term = 36and n = no. of terms = 20After substituting valueSum = (4 + 36)X 20/2= 40 X 10
Given,a= 420th term or last term for finding sum = 36number of term = 20Sum of n term =(a + l) \times n \div 2(a+l)×n÷2wherea= first term = 4l = last term = 36and n = no. of terms = 20After substituting valueSum = (4 + 36)X 20/2= 40 X 10= 400
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