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THERE ARE 7 CONSECUTIVE NUMBERS. IF THE LARGEST NUMBER 15 99, WHAT IS THE SUM OF ALL THE GIVEN NUMBENS.
Question
THERE ARE 7 CONSECUTIVE NUMBERS.
IF THE LARGEST NUMBER 15 99, WHAT
IS THE SUM OF ALL THE GIVEN NUMBENS.
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Mathematics
3 years
2021-08-31T04:20:23+00:00
2021-08-31T04:20:23+00:00 2 Answers
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Answers ( )
Answer:
S₇ = 672
Step-by-step explanation:
If there are 7 consecutive numbers and the largest is 99, then there are 6 smaller consecutive numbers:
Smallest number = 99-6 = 93
The sequence is 93, 94, 95, 96, 97, 98, 99.
Where:
a₁ = 93
an = 99
n = 7
Sum of the sequence:
Sn = n/2(a₁ + an)
S₇ = 7/2 (93 + 99)
S₇ = 7/2 (192)
S₇ = 7(96)
S₇ = 672
Answer:
S₇ = 672
Step-by-step explanation:
If there are 7 consecutive numbers and the largest is 99, then there are 6 smaller
consecutive numbers:
Smallest number = 99-6 = 93
The sequence is 93, 94, 95, 96, 97, 98, 99.
Where:
a₁ = 93
an = 99
n = 7
Sum of the sequence:
Sn = n/2(a₁ + an)
S₇ = 7/2 (93 + 99)
S₇ = 7/2 (192)
S₇ = 7(96)
S₇ = 672