What will be the 12th and 77th terms in the series 10, 12, 14, 16, ?
19th and 77th term in the series 10,12,14,16
To find the 12th term in the series, we need to determine the pattern in the given series.
From the given series: 10, 12, 14, 16, ...
We can observe that each consecutive term is obtained by adding 2 to the previous term. Therefore, the common difference between each term is 2.
To find the 12th term, we can use the formula for the nth term of an arithmetic sequence:
nth term = first term + (n - 1) * common difference
Plugging in the values, we have:
12th term = 10 + (12 - 1) * 2
= 10 + 11 * 2
= 10 + 22
= 32
So, the 12th term in the series is 32.
To find the 77th term, we can use the same formula:
77th term = 10 + (77 - 1) * 2
= 10 + 76 * 2
= 10 + 152
= 162
Therefore, the 77th term in the series is 162.
To find the 12th and 77th terms in the series, we first need to determine the pattern in the given series.
Looking at the series, we can observe that each term increases by 2:
10, 12, 14, 16, ...
The common difference between terms is 2.
To find the nth term in an arithmetic sequence, we can use the formula:
nth term = first term + (n - 1) * common difference
Let's calculate:
For the 12th term:
nth term = 10 + (12 - 1) * 2
= 10 + 11 * 2
= 10 + 22
= 32
So, the 12th term in the series is 32.
For the 77th term:
nth term = 10 + (77 - 1) * 2
= 10 + 76 * 2
= 10 + 152
= 162
Therefore, the 77th term in the series is 162.
To summarize:
- The 12th term in the series is 32.
- The 77th term in the series is 162.