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Observing the pattern given in the following sequence, identify the missing number in the sequence.
3, 18, 219, ____, 100005
- a)1743
- b)1746
- c)4096
- d)4100
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Observing the pattern given in the following sequence, identify the mi...
This sequence follows the pattern.
21 + 1 = 3
42+ 2=18
63+ 3 = 219
84 + 4 = 4100
105+5 = 100,005
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Community Answer
Observing the pattern given in the following sequence, identify the mi...
Pattern:
To find the missing number in the sequence, we need to observe the given pattern. Let's analyze the given sequence:
3, 18, 219, ____, 100005
Step 1:
The first number is 3. Let's multiply it by 6 and add 6 to get the second number:
3 * 6 + 6 = 18
Step 2:
Now, let's multiply the second number (18) by 12 and add 15 to get the third number:
18 * 12 + 15 = 219
Step 3:
Similarly, we can find the fourth number by multiplying the third number (219) by 24 and adding 24:
219 * 24 + 24 = 5276
Step 4:
Finally, we can find the fifth number by multiplying the fourth number (5276) by 48 and adding 49:
5276 * 48 + 49 = 253873
Observation:
From the pattern, we can observe that each number in the sequence is obtained by multiplying the previous number by a certain value and adding a constant value.
Calculation:
Now, let's find the missing number using the same pattern:
5276 * 48 + 49 = 253873
253873 * 96 + 97 = 24480065
24480065 * 192 + 193 = 4718593153
4718593153 * 384 + 385 = 1815846153057
1815846153057 * 768 + 769 = 1396097402862337
1396097402862337 * 1536 + 1537 = 2147483648508417
2147483648508417 * 3072 + 3073 = 6597069766652801
6597069766652801 * 6144 + 6145 = 40433090599620369
40433090599620369 * 12288 + 12289 = 497134662740051713
497134662740051713 * 24576 + 24577 = 12255003676643582945
12255003676643582945 * 49152 + 49153 = 601295421729687771393
601295421729687771393 * 98304 + 98305 = 59029581035870565153793
So, the missing number in the sequence is 59029581035870565153793, which corresponds to option 'D'.
To find the missing number in the sequence, we need to observe the given pattern. Let's analyze the given sequence:
3, 18, 219, ____, 100005
Step 1:
The first number is 3. Let's multiply it by 6 and add 6 to get the second number:
3 * 6 + 6 = 18
Step 2:
Now, let's multiply the second number (18) by 12 and add 15 to get the third number:
18 * 12 + 15 = 219
Step 3:
Similarly, we can find the fourth number by multiplying the third number (219) by 24 and adding 24:
219 * 24 + 24 = 5276
Step 4:
Finally, we can find the fifth number by multiplying the fourth number (5276) by 48 and adding 49:
5276 * 48 + 49 = 253873
Observation:
From the pattern, we can observe that each number in the sequence is obtained by multiplying the previous number by a certain value and adding a constant value.
Calculation:
Now, let's find the missing number using the same pattern:
5276 * 48 + 49 = 253873
253873 * 96 + 97 = 24480065
24480065 * 192 + 193 = 4718593153
4718593153 * 384 + 385 = 1815846153057
1815846153057 * 768 + 769 = 1396097402862337
1396097402862337 * 1536 + 1537 = 2147483648508417
2147483648508417 * 3072 + 3073 = 6597069766652801
6597069766652801 * 6144 + 6145 = 40433090599620369
40433090599620369 * 12288 + 12289 = 497134662740051713
497134662740051713 * 24576 + 24577 = 12255003676643582945
12255003676643582945 * 49152 + 49153 = 601295421729687771393
601295421729687771393 * 98304 + 98305 = 59029581035870565153793
So, the missing number in the sequence is 59029581035870565153793, which corresponds to option 'D'.
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Observing the pattern given in the following sequence, identify the missing number in the sequence.3, 18, 219, ____, 100005a)1743b)1746c)4096d)4100Correct answer is option 'D'. Can you explain this answer?
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