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3 years ago

The first term of a sequence is 35 and the difference between the terms is always 8. a) Determine the nth term of the sequence.

Mathematics

1 answer:

s2008m [1.1K]3 years ago

8 0

Answer:

Step-by-step explanation:

$a_1=35\\d=8\\\\a_n=a_1+d(n-1)\\\\a_n=35+8(n-1)\\a_n=35+8n-8\\a_n=8n+27$

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PLEASE HELP!!!!!!!!!!

yan [13]

$115 = l \times 2.5 \times 5.75$

$\huge \mathrm{Answer࿐}$

given :

$\longmapsto$ volume = 115 yd³

Dimensions are :

$2\frac{1}{2} yd$

$5\frac{3}{4} yd$

We know,

$\large \boxed{ \mathrm{volume = l \times b \times h}}$

$115 = 2\frac{1}{2} \times 5\frac{3}{4} \times l$

$l \times \dfrac{5}{2} \times \dfrac{23}{4} = 115$

$l \times \dfrac{115}{8} = 115$

$l = 115 \times \dfrac{8}{115}$

$l = 8 \: yd$

Therefore Length of the prism is 8 yards.

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