Answer:
5 (5x1) , -10 -(5x2), 20(10x2), -40 -(20x2), 80(40x2)
so the next number should be previous number in the sequence multiplied by 2 and a negative sign.
-`(80x2) = -160
Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
= 
[ 2a₁ + (n - 1)d ] , thus
= 
[ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740
Answer:
99 square feet
Step-by-step explanation:
Because 8 times 9=72+27=99
The total value of the sequence is mathematically given as
498501
<h3>The sum of the sequence is..?</h3>
Generally, the equation for Gauss's Problem is mathematically given as
The sum of an arithmetic series;
1+2+3+...+n= n(n+1)/2
Given an arithmetic sequence,
1+2+3+...+998,
Here,
n = 998
1+2+3+...+n=n(n+1)/2
1+2+3+...+998=98(998 + 1)/2
998 x 999 1+2+3+...+998 =2
1+2+3+...+998 = 498501
In conclusion, 498501 is the total value of the sequence.
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