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Evgesh-ka [11]
2 years ago
9

Determine the sum of the first twenty five terms of the sequence whose first five terms are 5,14,23,32 and 41

Mathematics
1 answer:
Alika [10]2 years ago
5 0

Answer:

Step-by-step explanation:

This is an arithmetic sequence. Each term is 9 more than the preceding term.

The 25th term is 5+24*9 = 1085.

Sum of first 25 terms is 25(5+1085)/2 = 13625

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The sum of Cathy's and Tony's ages is 65. Eight years ago, Cathy's age was 2/5 of Tony's age. How old are they now?
Viktor [21]
Let
x------> Cathy's<span> ages
</span>y------> Tony's ages

we know that
x+y=65-----> x=65-y-----> equation 1
y-8=(2/5)*(x-8)-----> equation 2

substitute equation 1 in equation 2
y-8=(2/5)*(65-y-8)---> y-8=22.8-0.4y----> y+0.4y=22.8+8
1.4y=30.8-----> y=22
x=65-y-----> x=65-22----> x=43

the answer is
Cathy's ages is 43 years 
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7 0
3 years ago
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Answer:

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Step-by-step explanation:

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