Answer:
-84
Step-by-step explanation:
The formula for the nth term of a geometric progression is
Un = ar^n- 1
The sum of the first six terms of a geometric series (U6) = 21/16
Common ratio = -1/2 ,
a = First term ??
21/16 = a × (-1/2 )^6- 1
21/16 = a ×(-2^-1)^5
21/16 = a × -2^-6
Cross Multiply
16 × a × -2^-6 = 21
a = 21/16 × -2^-6
a = 21/16 ×- 1/2⁶
a = 21/16 × -1/64
a = 21 ÷(-1/4)
a = 21 × -4
a = -84
The first term = 84
The event will have 27 tables, with 2 adults and 3 children in each table.
Step-by-step explanation:
The greatest number of tables the planner can set up is determined by finding the greatest common factor in 54 and 81. This is given by;
54 81----------------divided by 3
3 18 27---------------divided by 3
3 6 9---------------divided by 3
3 2 3---------------no common divisor
The greatest number of table will be given by : 3×3×3=27
The number of adults in each table will be 2
The number of children in each table will be 3
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Greatest common factor : brainly.com/question/13133626
Keyword : greatest number
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Average speed is the distance traveled by an object in total and divided by the amount of time an object covers the distance. The formula is -
Average speed = total distance traveled / total time taken
= 68km+64km / 2 hrs.+3hrs.
= 132km / 5hrs.
= 26.4km/hr.
Therefore, the train's average speed is 26.4km/hr.
Answer:
sorry foe being late
Step-by-step explanation:
