t8=1024 and decrease by 2/3. what will be the sum of the first 7 term.

i don't know what shud i do first to solve it.

To find the sum of the first 7 terms of a sequence, we first need to determine the sequence itself. Given that t8 = 1024 and will decrease by 2/3, we need to establish the common difference of the sequence.

Since the term t8 is 1024, and it decreases by 2/3, we can subtract 2/3 from t8 to find t7, and continue this pattern in reverse to find t6, t5, t4, t3, t2, and t1.

Let's break it down step by step:

1. Start with t8 = 1024.
2. To find t7, subtract 2/3: t7 = t8 - 2/3.
3. Similarly, to find t6, subtract 2/3: t6 = t7 - 2/3.
4. Continue this pattern in reverse order, finding t5, t4, t3, t2, and t1.

Once you have established the values of t1, t2, t3, t4, t5, t6, and t7, you can proceed to find the sum of the first 7 terms by adding them together.

For example, if we find that t7 = 8, t6 = 6⅔, t5 = 5⅓, t4 = 4, t3 = 2⅔, t2 = 1⅓, and t1 = 0, we can find the sum of the first 7 terms by adding them all together:

Sum = t1 + t2 + t3 + t4 + t5 + t6 + t7

This will give you the final answer.