Question

For an AP if a = 5 , d = 4 , find the 7th term


option 1. 29

option2. 37

option3. 19

option4. 24​

Answer 1

EXPLANATION.

First term = a = 5.

Common difference = d = 4.

As we know that,

General term of an A.P.

⇒ Tₙ = a + (n - 1)d.

Using this formula in the equation, we get.

⇒ T₇ = a + (7 - 1)d.

⇒ T₇ = a + 6d.

Put the values in the equation, we get.

⇒ T₇ = 5 + 6(4).

⇒ T₇ = 5 + 24.

⇒ T₇ = 29.

Option [1] is correct answer.

                                                                                                                       

MORE INFORMATION.

Suppositions of term in an A.P.

(1) Three terms as : a - d, a, a + d.

(2) Four terms as : a - 3d, a - d, a + d, a + 3d.

(3) Five terms as : a - 2d, a - d, a, a + d, a + 2d.

Answer 2

Answer:

Question :-

✯ For an AP if a = 5 , d = 4 , find the 7th term :

Options :

☯ 1) 29

☯ 2) 37

☯ 3) 19

☯ 4) 24

Given :-

✯ For an AP if a = 5 , d = 4.

Find Out :-

✯ What is the 7th term of an A.P.

Solution :-

☣ 7th term of an A.P. :-

As we know that :

✭ $\red{ \boxed{\sf{T_n = a + (n - 1)d}}}$ ✭

where,

• a = First term
• d = Common difference
• n = Number of terms

We have ;

• First term = a = 5
• Common difference = d = 4

By putting the values we get,

$\implies \sf T_7 = a + (7 - 1)d$

$\implies \sf T_7 = a + 6d$

Put the values in the equation, we get.

$\implies \sf T_7 = 5 + 6(4)$

$\implies \sf T_7 = 5 + 6 \times 4$

$\implies \sf T_7 = 5 + 24$

$\implies$ ${\small{\bold{\purple{\underline{T_7 = 29}}}}}$

Henceforth, the value of 7th term of an A.P is 29.

Correct options is 1) 29.

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