Question

Find the 100th term. If the first term is 4 and the common difference is 7?​

Answer 1

Answer:

$\huge\mathcal{\green{Hola!}}$

$\huge\mathfrak{\red{Answer}}$

$\huge\mathcal{\green{697}}$

Step-by-step explanation:

Given:-

• In an Arithmetic progression,

• the first term,a = 4

• The common difference,d = 7

To find:-

• The 100th term of the AP

$\huge\mathcal{\green{Now,}}$

• a = 4

• d = 7

• n = 100

• a_n= ?

We know that;

$a_{n} = a + (n - 1)d$

$\huge\mathcal{\green{Therefore,}}$

putting values we get;

$a_{100} = 4 + (100 - 1)7$

$a_{100} = 4 + (99)7$

$a_{100} = 4 + 693$

$a_{100} = 697$

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