2 years ago

Can someone please help me on this

Mathematics

1 answer:

Phantasy [73]2 years ago

6 0

Answer:

D 150 ft is the length of 5 ft

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In a sequence of ten terms, each term (starting with the third term) is equal to the sum of the two previous terms. The seventh

poizon [28]

Answer:

$\boxed{a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8+a_9+a_{10}=66}$

Step-by-step explanation:

We know that in a sequence of ten terms, each term (starting with the third term) is equal to the sum of the two previous terms. The seventh term is equal to 6. Therefore, we have

$a_1+a_2=x\\a_3=x\\a_4=2x\\a_5=3x\\a_6=5x\\a_7=8x\\$

We know that:

$a_7=6\\\implies 8x=6\\x=\frac{3}{4}$

We get:

$a_1+a_2=x=\frac{3}{4}\\\\a_3=x=\frac{3}{4}\\\\a_4=2x=\frac{3}{2}\\\\a_5=3x=\frac{9}{4}\\\\a_6=5x=\frac{15}{4}\\\\a_7=8x=6\\\\a_8=13x=\frac{39}{4}\\\\a_9=21x=\frac{63}{4}\\\\a_{10}=34x=\frac{102}{4}\\$