Answer:
-505
Step-by-step explanation:
First term is -10, second is -15, third -20, fourth -25, and so on. Here, this is a pattern. Every question having pattern also have a formula to solve it. To solve this question first you need to understand the pattern. In this pattern it is adding -5. First term is -10, so if we add -5 to -10 we will get the second term that is -15, and to get third term add -5 to the result with the previous number that will -15 + -5 = -20. So, now we are confirm that to get the next term we have to add -5 to the previous number. Here, we have to find the hundredth term. So, if we add -5 with the result hundred times it will take time. So, we need to solve this with the help of a formula. The formula according to me is, -5 × term number + (-5). Before finding the term which is not given in the question, we have to try this formula with the terms given in the question to know whether the formula is correct✅ or not❌. So, first we will find the first term using the formula.
= -5 × 1 + (-5)
= -5 + (-5)
= -10
We got the first term and it is correct but, I am finding all terms given in this question using the formula to show that the formula is correct.
Second term using formula
= -5 × 2 + (-5)
= -10 + (-5)
= -15
Third term using formula
= -5 × 3 + (-5)
= -15 + (-5)
= -20
Fourth term using formula
= -5 × 4 + (-5)
= -20 + (-5)
= -25
Now, I think you know how to find 100th term. To find 100th term, multiply -5 with 100 then add -5 to the result.
= -5 × 100 + (-5)
= -500 + (-5)
= <u>-505</u>
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If you want to find more terms you can find it using the formula.
If you did not understood my explanation or my answer is incorrect than sorry, you can report my answer. But, if you understood than tell me in comment or please give me a Thanks.
If you think my answer is incorrect, before reporting it you should find the 100th term using long method by only adding -5 till you find the 100th term to check my answer.
