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Ghella [55]
3 years ago
11

What two consecutive integers have a sum of 47?

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0
23 and 24 are two consecutive integers that add up to 47.
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If the 7th of an AP is equal to 11 times the 11th term, find the 18th term
Zina [86]

Answer:

-33 or 33

Step-by-step explanation:

The seventh term of an AP is written as:

a + 6d

The eleventh term of an AP is written as:

a + 10d

If the 7th term is 11 times the 11th term, then;

a + 6d = 11(a + 10d)

Expand to get:

a + 6d = 11a + 110d

11a - a = 6d - 110d

10a =  - 104d

\frac{a}{d}  = -   \frac{104}{10}

\frac{a}{d}  = -   \frac{52}{5}

We must have a=-52 and d=5

Or

a=52 and d=-5

For the first case, the 18th term is :

- 52 + 5 \times 17 = 33

For the second case,

52 - 5 \times17 =  - 33

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Solve porportion<br> 9\12=x\16<br> x = 13<br> x = 12<br> x = 21<br> x = 9
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Answer:

12

Step-by-step explanation:

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Test them
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