To find the pattern in the given sequence, let's look at the differences between consecutive terms:

1, 3, 6, 8, 16, 18, 36, 38, 76

The differences are:

2, 3, 2, 8, 2, 18, 2, 38

The pattern in the differences is not immediately clear. However, if we observe closely, we can see that the differences alternate between adding 2 and adding 18.

So, the next difference should be 2, which means the next term in the sequence will be obtained by adding 2 to the previous term, 76:

76 + 2 = 78

Therefore, the correct answer is A) 78.

• Thanks
• Wrong explanation

To find the missing term in the given sequence, let's analyze the pattern:

The sequence appears to be increasing at an irregular rate. Let's look at the differences between consecutive terms:

2 - 1 = 1 10 - 2 = 8 37 - 10 = 27 101 - 37 = 64

The differences between consecutive terms appear to be increasing by a power of 2: 1, 8, 27, 64.

Now, let's continue this pattern:

101 + 64 = 165

So, the next term in the sequence should be:

101 + 64 = 165.

However, none of the given options match 165. Therefore, let's reevaluate the pattern:

1^3 + 1 = 2 2^3 + 2 = 10 3^3 + 3 = 36 (not 37) 4^3 + 4 = 68 (not 101)

From this analysis, it appears that the pattern is the sum of the cubes of consecutive positive integers, plus the next positive integer:

1^3 + 1 = 2 2^3 + 2 = 10 3^3 + 3 = 36 4^3 + 4 = 68 5^3 + 5 = 130

Therefore, the missing term in the sequence is 130. However, none of the given options match 130.

Since none of the given options match the pattern, it is possible that there is an error in the question or a different pattern that we haven't noticed.

• Thanks
• Wrong explanation

To find the pattern in the given sequence: 2, 5, 17, 65, _______, 1025, we need to look for the relationship between the terms.

If we observe carefully, we can see that each term in the sequence is obtained by multiplying the previous term by 3 and then adding 1.

Let's go through each option to determine the correct answer:

Option A) 256 - This option does not follow the pattern of multiplying the previous term by 3 and adding 1.

Option B) 258 - This option does not follow the pattern of multiplying the previous term by 3 and adding 1.

Option C) 257 - This option is correct because it follows the pattern of multiplying the previous term by 3 and adding 1. For example, 65 x 3 + 1 = 196 + 1 = 197.

Option D) 259 - This option does not follow the pattern of multiplying the previous term by 3 and adding 1.

Option E) 260 - This option does not follow the pattern of multiplying the previous term by 3 and adding 1.

Option F) 261 - This option does not follow the pattern of multiplying the previous term by 3 and adding 1.

The correct answer is Option C) 257. This option is correct because it follows the pattern of multiplying the previous term by 3 and adding 1.

• Thanks
• Wrong explanation

To find the missing number in the given sequence, let's observe the pattern between the numbers:

361, 289, _______, 169, 121

By looking at the given numbers, we can see that each number is the square of a certain value:

19^2 = 361 17^2 = 289 13^2 = 169 11^2 = 121

Therefore, the missing number should be the square of the next smaller number, which is 15:

15^2 = 225

So, the missing number in the sequence is 225.

The correct answer is option F) 225.

• Thanks
• Wrong explanation