sum of consecutive five terms in A.P is 345 first term is______
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as it is consecutive 5 terms we take the A.P as:
x , x+1,x+2 , x+3 , x+4
so in the question they are asking to find the 1st term i.e , "a"
so sum of terms = 345
therefore we can find common difference by subtracting 2nd term from first : d = x+1 - x = 1
so we have : a= x(to find)
d=1
sum=345 , and
n=number of terms = 5
therefore we use the formula of sum of an AP which is:
S₅= n/2 ₓ [2a + (n-1)d]
which is : 345 = 5/2 ₓ [2x + (5-1)1]
which is equal to : 67 which is your final answer
hope this answers your question
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