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if a paragraph does not have a topic sentence then
No, usually it is considered good practice to keep a paragraph limited to one topic and start a new paragraph when the topic changes. (There are, of course, exceptions, such as a paragraph that sets two different topics in relation, but several topics in a single paragraph is often a sign of sloppy writing and rarely a prerequisite for a good paragraph.)
if a paragraph does not have a topic sentence then
It is the first sentence of a paragraph which is the topic sentence.
the first sentence of the paragraph is called the topic sentence which should describe most of the paragraph for the reader to understand. The topic sentence is usually the first sentence of a paragraph. It makes a statement (about a topic) and the rest of the paragraph explains the topic sentence or gives examples of the topic sentence. The second sentence of a paragraph can sometimes be the topic sentence. Sometimes it is called a summary sentence.
An essay has a theme, supporting paragraph separated by transitions and a conclusion. In a topic paragraph, there is a main sentence (the topic sentence) which functiosn as the theme of the paragraph. There are usually several sentences that suport that topic sentence, just like in an essay, and a good topic paragraph will usually end with transition to the next topic paragraph. Some topic paragraphs may also have concluding statements.
Final.
A deductive paragraph is a paragraph in which the topic sentence is stated first. The first sentence of a deductive paragraph should be the topic sentence.
The first sentence usually introduces the topic of the paragraph -- in this case, the essay topic as well. The concluding sentence of the topic paragraph is an excellent place to reinforce the essay's topic in the minds of readers.
Generally the topic sentence is the first sentence of the paragraph and the rest of the paragraph explains or gives examples of the topic sentence. The topic sentence can also be the second sentence of the paragraph. This is when the first sentence is a linking sentence that links the paragraph to the previous paragraph. Sometimes the topic sentence can be the last sentence in the paragraph
A topic sentence is important because it provides the main idea or focus of the paragraph, helping to guide the reader on what to expect. It sets the tone and direction for the rest of the paragraph, making it easier for readers to follow along and understand the content being presented. Additionally, a topic sentence helps to maintain coherence and unity within the paragraph.