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steph1340
29.08.2021 •
Mathematics
Could anyone possibly help me out?
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Ответ:
n = 21
Step-by-step explanation:
since we are told that n arithmetic mean are inserted between 25 and 37, then;
the first term is 25
The nth term of an arithmetic progression is expressed as:
Tn = a+(n-1)d
a is the first term
d is the common difference
n is the number of terms
The sum Sn = n/2[a+l]
Given
a = 25
Tn = 25+(n-1)d
Sn = n/2(25+37)
Sn = n/2(62)
Sn = 31n
Since the sum of the terms is 651, then:
651 = 31n
n = 651/31
n = 21
Hence the value if n is 21