The first and last term of a linear sequence (AP) are 6 and 10 respectively. If the sum of the sequence is 40. Find the number of terms.

Answer Details

A linear sequence is also known as an Arithmetic Progression (AP) and it follows a pattern of adding a constant value to each term to get the next one. To find the number of terms in the sequence, we can use the formula for the sum of an AP: (First term + Last term) * Number of terms / 2 = Sum of the sequence In this case, the first term is 6, the last term is 10, and the sum of the sequence is 40. We can substitute these values in the formula: (6 + 10) * Number of terms / 2 = 40 Expanding the left side of the equation: 16 * Number of terms / 2 = 40 Dividing both sides by 8: Number of terms = 40 / 8 The number of terms in the sequence is 5. So, the answer is nth = 5.